A class of exact, periodic solutions of nonlinear envelope equations

From MaRDI portal
Publication:4873267

DOI10.1063/1.530951zbMath0848.35122OpenAlexW1967529052MaRDI QIDQ4873267

Kwok W. Chow

Publication date: 24 October 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10722/43018



Related Items

On Doubly Periodic Standing Wave Solutions of the Coupled Higgs Field Equation, Constructions of the soliton solutions to the good Boussinesq equation, Multiple breathers and rational solutions to Ito integro-differential equation arising in shallow water waves, On quasiperiodic wave solutions and integrability to a generalized \((2+1)\)-dimensional Korteweg-de Vries equation, A class of doubly periodic waves for nonlinear evolution equations, A class of exact solutions of the generalized nonlinear Schrödinger equation, Doubly periodic patterns of modulated hydrodynamic waves: exact solutions of the Davey-Stewartson system, Solutions and conservation laws of a (3+1)-dimensional Zakharov-Kuznetsov equation, On quasi-periodic waves and rogue waves to the (4+1)-dimensional nonlinear Fokas equation, Quasi-periodic wave solutions for the \((2+1)\)-dimensional generalized Calogero-Bogoyavlenskii-Schiff (CBS) equation, Quasiperiodic waves, solitary waves and asymptotic properties for a generalized \((3+1)\)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation, On the periodic solutions for both nonlinear differential and difference equations: a unified approach, Nonlinear internal gravity waves in the atmosphere: rogue waves, breathers and dark solitons, Towards a unified method for exact solutions of evolution equations. An application to reaction diffusion equations with finite memory transport, Some new traveling wave solutions of the nonlinear reaction diffusion equation by using the improved \((G'/G)\)-expansion method, New types of doubly periodic standing wave solutions for the coupled Higgs field equation, Periodical solution to the nonlinear dissipative equation for surface waves in a convecting liquid layer, A series of complexiton soliton solutions for non-linear Hirota–Satsuma equations using the generalized multiple Riccati equations rational expansion method, Abundant families of Jacobi elliptic function solutions of the \((2+1)\)-dimensional integrable Davey-Stewartson-type equation via a new method, SYMBOLIC COMPUTATION AND WEIERSTRASS ELLIPTIC FUNCTION SOLUTIONS OF THE DAVEY–STEWARTSON (DS) SYSTEM, NEW ENVELOPE SOLUTIONS FOR COMPLEX NONLINEARSCHRÖDINGER+EQUATION VIA SYMBOLIC COMPUTATION, Dynamical behavior of traveling wave solutions for a \((2+1)\)-dimensional Bogoyavlenskii coupled system, On integrability and quasi-periodic wave solutions to a \((3+1)\)-dimensional generalized KdV-like model equation, A note on the elliptic equation method, A note on bifurcations and travelling wave solutions of a (2+1)-dimensional nonlinear Schrödinger equation, On the Integrability of a Generalized Variable‐Coefficient Forced Korteweg‐de Vries Equation in Fluids, Periodic solutions for a system of four coupled nonlinear Schrödinger equations, Exact periodic and solitary waves and their interactions for the \((2+1)\)-dimensional KdV equation, Extended Jacobian elliptic function algorithm with symbolic computation to construct new doubly-periodic solutions of nonlinear differential equations, The new extended Jacobian elliptic function expansion algorithm and its applications in nonlinear mathematical physics equations, A kind of explicit Riemann theta functions periodic waves solutions for discrete soliton equations, Closed form solutions of two nonlinear equation via the enhanced (G/G)-expansion method, Theta function solutions for two discrete equations, Riemann theta functions periodic wave solutions and rational characteristics for the nonlinear equations, Exact periodic solutions of the complex Ginzburg–Landau equation, Exact solutions of nonlinear Schrödinger equation by using symbolic computation, Some applications of the \((\frac{G'}{G})\)-expansion method to non-linear partial differential equations, Dynamics of Solitary Waves and Periodic Waves in a (3 + 1)-Dimensional Nonlinear Evolution Equation, Exact soliton solutions of the one-dimensional complex Swift-Hohenberg equation, Exact solutions of nonlinear wave equations using \((G^\prime/G, 1/G)\)-expansion method, Propagating wave patterns and ``peakons of the Davey-Stewartson system



Cites Work