Breather and soliton wave families for the sine–Gordon equation

From MaRDI portal
Publication:4223998

DOI10.1098/rspa.1998.0264zbMath0917.35124OpenAlexW2056630879MaRDI QIDQ4223998

Nikolay K. Vitanov

Publication date: 5 August 1999

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1998.0264




Related Items

Exact travelling wave solutions for the \((n + 1)\)-dimensional double sine- and sinh-Gordon equationsOn traveling waves in lattices: the case of Riccati latticesTraveling waves and statistical distributions connected to systems of interacting populationsBifurcations and exact traveling wave solutions of the \((n+1)\)-dimensional \(q\)-deformed double sinh-Gordon equationsOn modified method of simplest equation for obtaining exact and approximate solutions of nonlinear PDEs: The role of the simplest equationApplication of the method of simplest equation for obtaining exact traveling-wave solutions for the extended Korteweg-de Vries equation and generalized Camassa-Holm equationModelling and measuring the irrational behaviour of agents in financial markets: discovering the psychological solitonThe fifth-order partial differential equation for the description of the \(\alpha+\beta\) Fermi-Pasta-Ulam modelBounded travelling wave solutions for the (\(n+1\))-dimensional sine- and sinh-Gordon equationsOn the class of nonlinear PDEs that can be treated by the modified method of simplest equation. Application to generalized Degasperis-Processi equation and \(b\)-equationModified method of simplest equation and its application to nonlinear PDEsThe binary \(F\)-expansion method and its application for solving the \((n + 1)\)-dimensional sine-Gordon equationOn nonlinear dynamics of interacting populations: coupled kink waves in a system of two populationsModified method of simplest equation: powerful tool for obtaining exact and approximate traveling-wave solutions of nonlinear PDEsApplication of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearityApplication of the method of simplest equation for obtaining exact traveling-wave solutions for two classes of model PDEs from ecology and population dynamicsBIFURCATION ANALYSIS AND EXACT TRAVELING WAVE SOLUTIONS FOR A GENERIC TWO-DIMENSIONAL SINE-GORDON EQUATION IN NONLINEAR OPTICSAnalytical solution to sine-Gordon equationNew exact solutions of the (n+1)-dimensional sine-Gordon equation using double elliptic equation methodOn the elliptic-localized solutions of the sine-Gordon equation