Philip Rosenau | Academic Influence

Philip Rosenau's AcademicInfluence.com Rankings

Philip Rosenau

Mathematics

#4106

World Rank

#5904

Historical Rank

Measure Theory

#2589

World Rank

#3103

Historical Rank

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Mathematics

Philip Rosenau's Degrees

PhD Mathematics Princeton University
Masters Mathematics Stanford University
Bachelors Mathematics University of California, Berkeley

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Why Is Philip Rosenau Influential?

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According to Wikipedia, Philip Rosenau , is an Israeli mathematician and a poet. He is a professor at the Department of Applied Mathematics at Tel Aviv University. He introduced compactons, along with James M. Hyman.

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Philip Rosenau'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

The construction of special solutions to partial differential equations (1986) (290)
Group-invariant solutions of differential equations (1987) (257)
On nonanalytic solitary waves formed by a nonlinear dispersion (1997) (192)
Dynamics of nonlinear mass-spring chains near the continuum limit (1986) (178)
Dynamics of Dense Discrete Systems High Order Effects (1988) (157)
Compact and noncompact dispersive patterns (2000) (146)
Some symmetries of the nonlinear heat and wave equations (1986) (123)
A Quasi-Continuous Description of a Nonlinear Transmission Line (1986) (122)
Equatorial propagation of axisymmetric magnetohydrodynamic shocks (1976) (118)
Formation of patterns induced by thermocapillarity and gravity (1992) (106)
Propagation of thermal waves in an inhomogeneous medium (1981) (106)
On a class of nonlinear dispersive-dissipative interactions (1997) (101)
Thermal waves in an absorbing and convecting medium (1983) (97)
Non‐linear diffusion in a finite mass medium (1982) (95)
Equatorial propagation of axisymmetric magnetohydrodynamic shocks. II (1976) (94)
On a nonlinear thermocapillary effect in thin liquid layers (1994) (88)
On solitons, compactons, and Lagrange maps (1996) (84)
Hamiltonian dynamics of dense chains and lattices: or how to correct the continuum (2003) (71)
Continuum model of dispersion caused by an inherent material characteristic length (1995) (69)
Phase compactons in chains of dispersively coupled oscillators. (2005) (62)
A Plethora of Integrable Bi-Hamiltonian Equations (1997) (57)
Bounded and unbounded patterns of the Benney equation (1992) (57)
Non-analytic solutions of nonlinear wave models (1998) (50)
Nonlinear thermal evolution in an inhomogeneous medium (1982) (50)
Shock disturbances in a thermally conducting solar wind (1976) (48)
Evolution and breaking of liquid film flowing on a vertical cylinder (1989) (47)
Phase compactons (2006) (46)
A note on integration of the Emden-Fowler equation (1984) (45)
Compactons in a class of nonlinearly quintic equations (1999) (43)
On a model equation of traveling and stationary compactons (2006) (42)
On reaction processes with saturating diffusion (2005) (41)
Compact and almost compact breathers: a bridge between an anharmonic lattice and its continuum limit. (2005) (40)
Capillary instability of thin liquid film on a cylinder (1993) (40)
Propagation of magnetohydrodynamic shocks in a thermally‐conducting medium (1978) (40)
Effects of a Saturating Dissipation in Burgers-Type Equations (1997) (38)
Formation of discontinuities in flux-saturated degenerate parabolic equations (2003) (36)
Compactons (2018) (35)
Breakdown in Burgers-type equations with saturating dissipation fluxes (1999) (32)
a Compacton ? (2005) (31)
On similarity solutions of Boussinesq-type equations (1986) (31)
On KS-type equations describing the evolution and rupture of a liquid interface (1993) (30)
Quasi-continuous spatial motion of a mass-spring chain (1987) (30)
Almost compact breathers in anharmonic lattices near the continuum limit. (2005) (29)
Compactification of nonlinear patterns and waves. (2008) (27)
Dynamic MHD modeling of the solar wind disturbances during the August 1972 events (1978) (26)
Emergence of compact structures in a Klein-Gordon model. (2010) (24)
On Burgers-Type Equations with Nonmonotonic Dissipative Fluxes (1998) (23)
Emergence of Waves in a Nonlinear Convection-Reaction-Diffusion Equation (2004) (22)
Evolution and breaking of ion-acoustic waves (1988) (22)
Nonlinear evolution and breaking of interfacial Rayleigh–Taylor waves (1989) (22)
Pulsating multiplet solutions of quintic wave equations (1998) (22)
Three-dimensional flow with neutral points (1979) (21)
Plasma diffusion across a magnetic field (1986) (19)
Multidimensional compactons. (2007) (19)
Reaction and concentration dependent diffusion model. (2002) (19)
Parameter optimisation of fast chlorophyll fluorescence induction model (2001) (18)
Delayed diffusion due to flux limitation (1989) (18)
A time-dependent two-fluid model with thermal conduction for the solar wind (1979) (18)
Elements of magnetohydrodynamics with the Hall current. Part 1. Nonlinear phenomena (1979) (17)
Bifurcations and pattern formation in the "regularized" Kuramoto-Sivashinsky equation (1992) (17)
On degenerate saturated-diffusion equations with convection (2005) (16)
Convergence to the travelling wave solution for a nonlinear reaction-diffusion equation (2004) (16)
On compactons induced by a non-convex convection (2014) (15)
On a Hamiltonian PDE arising in Magma Dynamics (2008) (15)
Compactification of patterns by a singular convection or stress. (2007) (14)
Analysis of Z‐pinch dynamics with application to fibers (1989) (13)
Slow shocks in the interplanetary medium (1977) (12)
Some nonlinear three-dimensional motions of an elastic string (1986) (11)
On solitary patterns in Lotka–Volterra chains (2016) (11)
On Hamiltonian formulations of the C1(m,a,b) equations (2017) (11)
Thermal equilibrium and stability of an Ohmically heated plasma (1982) (9)
Loss of regularity in the K(m,n) equations (2017) (7)
On tearing modes in a resistive medium (1983) (7)
Compact breathers in a quasi-linear Klein–Gordon equation (2010) (7)
On singular and sincerely singular compact patterns (2016) (7)
Solitary waves in flexible, arbitrary elastic helix (1998) (7)
Breathers in strongly anharmonic lattices. (2014) (7)
Solitary waves in an elastic string (1996) (7)
EVOLUTION AND FORMATION OF DISPERSIVE-DISSIPATIVE PATTERNS (1997) (7)
Tri-Hamiltonian Duality Between Solitons and Compactons (1995) (7)
Tempered wave functions: Schrödinger's equation within the light cone (2011) (7)
Ambipolar Diffusion in a Multi-Species Medium (1985) (6)
Flatons: Flat-top solitons in extended Gardner-like equations (2020) (6)
Discretons: Discrete compactons on a hexagonal lattice (2009) (5)
On quintic equations with a linear window (2016) (4)
On the quasi-continuous approximation of the Toda lattice (1987) (4)
Asymptotic Expansions of Guided Elastic Waves (1972) (4)
A regularized KS equation describing the formation of cellular flames (1988) (4)
Solitary phase waves in a chain of autonomous oscillators. (2020) (4)
Propagation of two‐fluid interplanetary shock waves (1979) (4)
On a strictly compact discrete breathers in a Klein–Gordon model (2015) (4)
Multi-dimensional compactons and compact vortices (2018) (4)
Analysis of nonlinear parabolic equations modeling plasma diffusion across a magnetic field (1984) (3)
Thermal and radiation losses in a linear device (1980) (3)
Diffusion and transport of a fully collisional plasma (1986) (3)
A non-linear thermal wave in a reacting medium (1982) (3)
Early and late stages of K(m,n) compactons interaction (2019) (3)
Similarity transformations of the complex Ginzburg-Landau and associated equations (1986) (3)
Quasicontinuum Fokker-Planck equation. (2010) (3)
Improved models of dense anharmonic lattices (2017) (3)
Magnetohydrodynamic blast wave in a gravitational field (1978) (2)
On a self-confined thermal equilibrium of a radiating plasma (1985) (2)
On a class of thermal blow-up patterns (1997) (2)
On planar compactons with an extended regularity (2017) (2)
Nonlinear stabilization of m = 2 MHD kink modes (1978) (2)
Long-time asymptotics of a system for plasma diffusion (1987) (2)
Similarity Solutions of Systems of Partial Differential Equations Using Macsyma (2015) (1)
Parameter Identification — A New Way of Assessing Errors in Stellar Atmosphere Analysis (1997) (1)
Compact patterns in a class of sublinear Gardner equations (2022) (1)
Evolution of a quasi-neutral shock wave in inhomogeneous semiconductors (1985) (1)
Class of Lorentz-Invariant compact structures (2019) (1)
ISOPHOT S Observations of 3 M Dwarfs (1997) (1)
Stellarator equilibria and the problem of position control (1984) (1)
On the invariants of the complex Ginzburg-Landau equation (1984) (1)
On reaction processes with a logarithmic-diffusion (2017) (1)
A SUBLUMINOUS SCHR ¨ ODINGER EQUATION (2010) (0)
Obituary of Isaac Goldhirsch (2010) (0)
Problem of Position Control (1983) (0)
On essential nonlinearities emerging from linear systems (2022) (0)
ISOPHOT-S Spectra and the Temperature Distribution in M Dwarfs (1997) (0)
New Classes of Traveling Waves in a Planar Kirchhoff Beam with Nonlinear Bending Stiffness (2020) (0)
Two-Fluid Theory of Interplanetary Shock Waves (1980) (0)
Drops and Fingers in a Tempered Ginzburg-Landau set-up (2021) (0)
Compaction - A Soliton with Compact Support (1994) (0)
Corrigendum to “On quintic equations with a linear window” [Phys. Lett. A 380 (2016) 135–141] (2016) (0)
Unfolding a Hidden Lagrangian Structure of a Class of Evolution Equations (2022) (0)
Waves in strongly nonlinear Gardner-like equations on a lattice (2020) (0)
A subluminous Schroedinger equation (2010) (0)
Ideal MHD Beta Limits in Toroidal Stellarators (1981) (0)
Long-time asymptotics of a system for plasma diffusion. Final Report (1985) (0)
On Multi-dimensional Compactons (2006) (0)
DYNAMICS OF SYSTEMS IN CLOSE-TO-CONTINUUM CONDITIONS (1988) (0)
Professor Isaac Goldhirsch 11 October 1949–29 April 2010 (2010) (0)
The fundamental role of solitons in nonlinear dispersive partial differential equations (1998) (0)
An asymptotic theory of guided waves (II) (1972) (0)
The physics of the high density Z-pinch (1988) (0)

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