Robin Bullough
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British mathematical physicist
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Why Is Robin Bullough Influential?
(Suggest an Edit or Addition)According to Wikipedia, Robin K. Bullough was a British mathematical physicist known for his contributions to the theory of solitons, in particular for his role in the development of the theory of the optical soliton, now commonly used, for example, in the theory of trans-oceanic optical fibre communication theory, but first recognised in Bullough's work on ultra-short optical pulses. He is also known for deriving exact solutions to the nonlinear equations describing these solitons and for associated work on integrable systems, infinite-dimensional Hamiltonian systems , and the statistical mechanics for these systems. Bullough also contributed to nonlinear mathematical physics, including Bose–Einstein condensation in magnetic trapss.
Robin Bullough's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Polynomial conserved densities for the sine-Gordon equations (1977) (203)
- Solitons in nonlinear optics. I. A more accurate description of the 2π pulse in self-induced transparency (1973) (143)
- Quantum electrodynamics of an atom making two-photon transitions in an ideal cavity (1988) (136)
- Solitons in Laser Physics (1979) (108)
- Exact Multisoliton Solutions of the Self-Induced Transparency and Sine-Gordon Equations (1973) (106)
- Bäcklund transformations for the sine–Gordon equations (1976) (99)
- Geometry of generalised nonlinear Schrödinger and Heisenberg ferromagnetic spin equations with linearly x-dependent coefficients (1980) (84)
- Exact solution of generalized Tavis - Cummings models in quantum optics (1996) (70)
- AnN-soliton solution of a nonlinear optics equation derived by a general inverse method (1973) (59)
- Exact multisoliton solution of the inhomogeneously broadened self-induced transparency equations (1973) (59)
- A q-deformed completely integrable Bose gas model (1992) (56)
- Theory of the dynamical Stark effect (1975) (47)
- Quantum collapse and revival of Rydberg atoms in cavities of arbitrary Q at finite temperature (1988) (46)
- Space and time-dependent effects in optical bistability (1979) (39)
- Unusual soliton behaviour in the self-induced transparency of Q(2) vibration-rotation transitions (1976) (38)
- The Generalised Marchenko Equation and the Canonical Structure of the A.K.N.S.-Z.S. Inverse Method (1979) (35)
- The Double Sine-Gordon Equations: A Physically Applicable System of Equations (1980) (34)
- Intensity fluctuations in a driven Dicke model (1980) (32)
- The Soliton and Its History (1980) (32)
- Bäcklund transformation and nonlinear superposition formula of an extended Lotka - Volterra equation (1997) (32)
- Incoherently driven Dicke model (1982) (29)
- Solitons in Physics (1978) (29)
- Graded Symmetry Algebras of Time-Dependent Evolution Equations and Application to the Modified KP Equations (1997) (29)
- Basic Concepts (1977) (28)
- A general theory of self-induced transparency (1974) (28)
- Exact finite temperature quantum statistics of single atom electrodynamics in a cavity of arbitrary Q (1986) (27)
- “The Wave” “Par Excellence”, the Solitary Progressive Great Wave of Equilibrium of the Fluid: An Early History of the Solitary Wave (1988) (26)
- Combined partial-bar and Riemann-Hilbert inverse methods for integrable non-linear evolution equations in (2+1) dimensions (1987) (26)
- Bäcklund transformations for the A.K.N.S. inverse method (1977) (25)
- Time-dependent symmetries of variable-coefficient evolution equations and graded Lie algebras (1997) (25)
- Photon, quantum and collective, effects from rydberg atoms in cavities (1987) (24)
- Quantum theory of recent observations on Rydberg atoms in low-Q cavities (1984) (24)
- Squeezed and non-classical light (1988) (24)
- Soliton-Like Spin Waves in 3He B (1979) (23)
- Operator reaction field theory in quantum optics: a study of one two-level atom in a broad-band squeezed vacuum without rotating wave approximation (2000) (23)
- Multisoliton solutions of nonlinear dispersive wave equations not soluble by the inverse method (1975) (23)
- Probing the dressed states of an atom interacting with a quantized field (1991) (23)
- Solitons and the Korteweg-de Vries equation: Integrable systems in 1834–1995 (1995) (21)
- Dispersive optical bistability in a Fabry-Perot cavity (1980) (21)
- Integrable non-isospectral flows associated with the Kadomtsev-Petviashvili equations in 2+1 dimensions (1988) (20)
- Bistable behaviour in squeezed vacua: I. Stationary analysis (2000) (20)
- Complete integrability of the Kadomtsev-Petviashvili equations in 2+1 dimensions (1986) (19)
- New integrable differential-difference systems (1997) (18)
- Quantum and classical statistical mechanics of the sinh-Gordon equation (1986) (18)
- Multiple soliton and bisoliton bound state solutions of the sine-Gordon equation and related equations in nonlinear optics (1973) (18)
- Atoms in coherent and incoherent fields (1988) (18)
- Completely integrable model of interacting q-bosons (1992) (18)
- Geometric theory of local and non-local conservation laws for the sine-Gordon equation (1981) (17)
- Thermal reservoir effects in resonance fluorescence (1983) (17)
- The stereochemistry of molecules containing the C = C = N group. II. The crystal structure of N‐methyl‐2‐methylsulphonyl‐2‐phenylsulphonylvinylidineamine (1957) (17)
- Finite-temperature correlations in the one-dimensional trapped and untrapped Bose gases (2003) (16)
- Wobbling and leap frogging in self-induced transparency (1976) (16)
- Adiabatic invariants theory of near-integrable systems with damping (1982) (16)
- Squeezing with Rydberg atoms (1987) (15)
- Integrable multiwave interaction systems of ODEs (1986) (15)
- Propagational effects in an ab initio theory of super-radiance from extended systems (1976) (14)
- Bistable behaviour in squeezed vacua: II. Stability analysis and chaos (2000) (14)
- Breather contributions to the dynamical form factors of the Sine-Gordon systems CsNiF3 and (CH3)4NMnCl3 (TMMC) (1981) (14)
- Analysis of the master equation for the Dicke model in squeezed vacua (1995) (14)
- Cooperative Atomic Behaviour and Oscillator Formation in a Squeezed Vacuum (1995) (11)
- Exact Quantum Theory for N Rydberg Atoms in a Cavity (1984) (11)
- Atoms in fock state fields: I. Exact analytical results (1990) (10)
- Semiclassical theory of quantum beat superfluorescence (1980) (10)
- Atoms in coherent and incoherent fields. II: Resonance fluorescence in mixed coherent-chaotic fields (1988) (10)
- The double-sine-Gordon equation: wobbling solitons? (1978) (10)
- Complete integrability of the KP equations (1987) (9)
- Giant Quantum Oscillators from Rydberg Atoms: Atomic Coherent States and Their Squeezing from Rydberg Atoms (1989) (9)
- Quantum repulsive Nonlinear Schrödinger models and their ‘Superconductivity’ (1995) (9)
- Optical Solitons and Their Spin Wave Analogues in 3He (1978) (8)
- Optical solitons and quantum solitons (2004) (8)
- On homometric sets. I. Some general theorems (1961) (8)
- q-deformed solitons and quantum solitons of the Maxwell-Bloch lattice (2000) (8)
- Soliton Statistical Mechanics: Statistical Mechanics of the Quantum and Classical Integrable Models (1988) (8)
- Classical thermodynamics of the Heisenberg chain in a field by generalized Bethe ansatz method (1990) (8)
- Quantum groups and quantum complete integrability: Theory and experiment (1991) (8)
- Theory of radiation reaction and atom self-energies: all-order perturbation theory of the generalized non-relativistic Lamb shift (1974) (8)
- Statistical mechanics of integrable models (1988) (8)
- Perturbation Theory of the Double Sine-Gordon Equation (1978) (7)
- Non-Linear Radiation Reaction (1973) (7)
- Integrability and a new breed of solitons of an NLS type equation in 2+1 dimensions (1994) (7)
- Geometry of the akns — ZS inverse scattering scheme (1980) (7)
- Solitons ofq-deformed quantum lattices and the quantum soliton (2001) (7)
- Thermodynamics of Toda lattice models: application to DNA (1993) (7)
- Oscillatings superfluorescence: The shape and delay of the leading pulse (1979) (6)
- Exact Quantum Theory of a Rydberg Atom in Cavities of Arbitrary Q at Finite Temperature T, and the 85Rb Atom Maser (1990) (6)
- A Bäcklund transformation and nonlinear superposition formula of the Caudrey-Dodd-Gibbon-Kotera-Sawada hierarchy (1998) (6)
- Generalized nonrelativistic Lamb-shift theory (1971) (6)
- Field-dependent atomic relaxation in a squeezed vacuum (2005) (6)
- Families of multisoliton solutions obtained by the inverse method (1975) (6)
- Optical Extinction Theorem In The Nonlinear Theory Of Optical Multistability (1983) (6)
- Thermal-field effects of photon statistics in resonance fluorescence (1988) (6)
- The Driven Dicke Models (1984) (6)
- Creation of Spin Waves in 3HeB (1978) (6)
- Quantum and Classical Statistical Mechanics of the Non-Linear Schrödinger, Sinh-Gordon and Sine-Gordon Equations (1985) (6)
- The Driven Dicke Model and its Macroscopic Extension: Bistability or Bifurcation? (1981) (6)
- Perturbation theory of super-radiance. I. Super-radiant emission (1973) (6)
- Some remarks on the organisation of living matter and its thermal disorganisation (1990) (6)
- The Quantum Ablowitz-Ladik Equation as a Q-Boson System (1993) (6)
- Theory of Far Infrared Superfluorescence (1978) (6)
- On homometric sets. II. Sets obtained by singular transformations (1964) (6)
- Theory of Fir Superfluorescence (1977) (5)
- THE TWO-ATOM DICKE MODEL IN A SQUEEZED VACUUM: THE FLUORESCENT SPECTRUM INCLUDING DIPOLE-DIPOLE INTERACTION (1991) (5)
- Applied Classical Electrodynamics. Volume 2. Nonlinear Optics (1987) (5)
- OPTICAL SOLITONS: TWENTY-SEVEN YEARS OF THE LAST MILLENNIUM AND THREE MORE YEARS OF THE NEW? (2001) (5)
- Finite-temperature correlations in the trapped Bose-Einstein gas (2001) (5)
- Solitons in Mathematics: Brief History (1978) (5)
- Perturbation theory of super-radiance. II. Cooperative and non-cooperative level shifts (1973) (5)
- Special foundation lecture: A personal view (2000) (4)
- II. Mathematical Structures (1977) (4)
- Generalized dispersion relations and optical bistability in squeezed vacua (1996) (4)
- Multiple Solutions of X-ray Diffraction Data (1963) (4)
- N-Soliton solutions of some non-linear dispersive wave equations of physical significance (1974) (4)
- QUANTUM SOLITONS (2005) (4)
- Exact trapping state dynamics for the 85Rb atom micromaser at very high Q and/or very low T (1996) (4)
- Quantum and classical integrability: new approaches in statistical mechanics (1991) (3)
- Theory II (1982) (3)
- Quantum solitons as possible qubits (2003) (3)
- Conceptual Models of Co-Operative Processes in Nonlinear Electrodynamics (1984) (3)
- Quantum Groups: Q-Boson Theories of Integrable Models and Applications in Non-Linear Optics (With 1 Figure) (1993) (3)
- Quantum Integrable and Nonintegrable Nonlinear Schrödinger Models for Realizable Bose–Einstein Condensation in d+1 Dimensions (d = 1, 2, 3) (2003) (3)
- Bose–Fermi equivalence and soliton theory in solid-state physics (1981) (3)
- Solitons: Inverse Scattering Theory and Its Applications (1980) (3)
- Stroboscopic theory of atomic statistics in the micromaser (1999) (3)
- Quantum Solitons on Quantum Chaos: Coherent Structures, Anyons, and Statistical Mechanics (1991) (3)
- The optical solitons of QE1 are the BEC of QE14: has the quantum soliton arrived?Special Foundation Lecture: a personal view 14th National Quantum Electronics and Photonics Conference, Owens Park, University of Manchester, 8 September 1999 (2001) (3)
- Solitons in Mathematics (1979) (3)
- Information storage and retrieval by stopping pulses of light1 (2004) (3)
- Some relations between structure factors (1955) (3)
- Quantum integrability and quantum chaos in the micromaser (2000) (2)
- Transient and Spectral Properties of Several Rydberg Atoms in a Squeezed Vacuum (1990) (2)
- Cavity Q.E.D.: Fundamental Theory of the Micromaser and Measurements of its Cavity Field (1992) (2)
- Collective Dynamical Statistical, and Equilibrium Properties of N Rydberg Atoms Making 2-Photon Transitions (1990) (2)
- Nonlinear radiation reaction, superradiance, and coherent optical pulse propagation (1972) (2)
- Quantum and Classical Statistical Mechanics of the Integrable Models in 1 + 1 Dimensions (1990) (2)
- Cavity Quantum Electrodynamics: Fundamental Theory of the Micromaser (1993) (2)
- Nonlinear Waves: Action-Angle Variables in the Statistical Mechanics of the Sine-Gordon Field (1983) (2)
- Statistical Mechanics of the sine-Gordon Field: Part I (1985) (2)
- QUANTUM SOLITONS FOR QUANTUM INFORMATION AND QUANTUM COMPUTING (2003) (2)
- Statistical Mechanics of the sine-Gorden Field: Part II (1985) (2)
- Statistical Mechanics of the Integrable Models (1987) (2)
- Instabilities in Nonlinear Dynamics: Paradigms for Self-Organization (1994) (2)
- Symmetries of the Classical Integrable Systems and 2-Dimensional Quantum Gravity: a 'Map' (1996) (2)
- Soliton statistical mechanics: Thermodynamic limits for quantum and classical integrable models (1991) (2)
- Optical bistability in a Fabry-Perot cavity (A) (1980) (2)
- Integrability Conditions: Recent Results in the Theory of Integrable Models (1990) (1)
- Solitons in Physics: Basic Concepts (1979) (1)
- I. MICROSCOPIC THEORY OF EINSTEIN'S RATE EQUATION (1988) (1)
- N-Soliton-type solutions of the self-dual Yang-Mills equations inM4 (1994) (1)
- Sine-Gordon Statistical Mechanics (1984) (1)
- Mirrored and Mirrorless Optical Bistability: Exact C-Number Theory of Atoms Forming a Fabry-Perot Cavity (1984) (1)
- Atomic Coherent States, Phase Transitions and Squeezing from Rydberg Atoms (1990) (1)
- Statistical mechanics of the NLS models and their avatars (1989) (1)
- Comments on probability distributions for interatomic vectors and atomic coordinates (1954) (1)
- Multimode dynamical theory of superradiance from extended systems (1974) (1)
- Spin Wave Breathers in 3He B (1979) (1)
- Finite-temperature correlations in the trapped Bose gas (1999) (1)
- NONCLASSICAL FIELDS IN ONE-PHOTON MICROMASER ACTION (1995) (1)
- Solitons and the Korteweg-de Vries Integrable Systems in 1834-1995 Equation: (1995) (1)
- Quantum “Optical” Bistability with Rydberg Na Atoms (1986) (1)
- Order and Chaos in the Statistical Mechanics of the Integrable Models in 1+1 Dimensions (1991) (0)
- Quantum statistical properties of a quantum theory of optical bistability (1984) (0)
- Mandel’s Q-parameters for the outcoming atom statistics of a micromaser (2003) (0)
- Quantum solitons of the nonlinear Schrodinger equations and their quantum noise (2000) (0)
- NON-LINEAR REFRACTIVE INDEX THEORY: I - GENERALIZED OPTICAL EXTINCTION THEORY AND DISPERSION RELATIONS (2009) (0)
- Relations between continuous and discrete integrable systems (1987) (0)
- BOSE-EINSTEIN CONDENSATION (BCE) AND THE ONE-, TWO- AND THREE-DIMENSIONAL NONLINEAR SCHRÖDINGER EQUATIONS (2000) (0)
- Generalized Dispersion Relations for Dielectrics in Squeezed Vacua (1995) (0)
- Dynamical nonlinear optics and bistability (1982) (0)
- Strong interaction of an atom in a high-Q cavity (1986) (0)
- Stored light in linear and nonlinear dielectrics (2003) (0)
- SOLITON STATISTICAL MECHANICS AND THE THERMALISATION OF BIOLOGICAL SOLITONS (1989) (0)
- Optical Bistability from the Dicke Model (1983) (0)
- Ramification of Liouville integrability: Statistical mechanics of the integrable sinh- and sine-Gordon fields☆ (1986) (0)
- Nonlinearity and Disorder in the Statistical Mechanics of Integrable Systems (1992) (0)
- N-SOLITON-TYPE S OLUTIONS OF THE S ELF-DUAL YANG-MILLS E QUATIONS IN M 4 (1994) (0)
- Optical extinction theorem theory of optical multi-stability bifurcations and turbulence in the Fabry-Perot interferometer (1983) (0)
- Goat cheese for breakfast in Istanbul or Why are certain nonlinear PDEs both widely applicable and integrable? Reminiscences of Francesco Calogero (2005) (0)
- Similarity solutions of the Gross-Pitaevskii equation (2000) (0)
- THE INFLUENCE OF VAN DER WAALS FORCE ON THE SINTERING OF GLASS (1959) (0)
- Strictly Quantum Optical Bistability (1984) (0)
- Exact Solution of Quantum Optical Models by Algebraic Bethe Ansatz Methods (1996) (0)
- Soliton pendulum in a Bose-Einstein condensate of cold atoms in a parabolic trap (1998) (0)
- Critical Behaviour and Optical Bistability of the Tavis-Cummings Model in a Driven Low-Q Cavity (1985) (0)
- A note on some features of the Painlevé analysis (1995) (0)
- Book reviews (1995) (0)
- Outcoming Atom Statistics And Quantum Measurements For The Micromaser (1998) (0)
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