On travelling waves and double-periodic structures in two-dimensional sine - Gordon systems
From MaRDI portal
Publication:4390249
DOI10.1088/0305-4470/29/16/036zbMath0898.35087OpenAlexW1981091968MaRDI QIDQ4390249
Publication date: 24 September 1998
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/29/16/036
dispersion relationsanisotropysine-Gordon equationexact travelling-wave solutionsstructures in spin systems
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Solutions to PDEs in closed form (35C05)
Related Items
Exact travelling wave solutions for the \((n + 1)\)-dimensional double sine- and sinh-Gordon equations ⋮ On traveling waves in lattices: the case of Riccati lattices ⋮ On nonlinear waves in the spatio-temporal dynamics of interacting populations ⋮ Bifurcations and exact traveling wave solutions of the \((n+1)\)-dimensional \(q\)-deformed double sinh-Gordon equations ⋮ Persistence of kink and anti-kink wave solutions for the perturbed double sine-Gordon equation ⋮ On periodic waves for sine- and sinh-Gordon equations ⋮ On modified method of simplest equation for obtaining exact and approximate solutions of nonlinear PDEs: The role of the simplest equation ⋮ Application of the method of simplest equation for obtaining exact traveling-wave solutions for the extended Korteweg-de Vries equation and generalized Camassa-Holm equation ⋮ Dynamical behavior of traveling wave solutions for a \((2+1)\)-dimensional Bogoyavlenskii coupled system ⋮ A note on the elliptic equation method ⋮ Modified method of simplest equation for obtaining exact analytical solutions of nonlinear partial differential equations: further development of the methodology with applications ⋮ Bäcklund transformations, solitary waves, conoid waves and Bessel waves of the \((2+1)\)-dimensional Euler equation ⋮ Bounded travelling wave solutions for the (\(n+1\))-dimensional sine- and sinh-Gordon equations ⋮ On the class of nonlinear PDEs that can be treated by the modified method of simplest equation. Application to generalized Degasperis-Processi equation and \(b\)-equation ⋮ Modified method of simplest equation and its application to nonlinear PDEs ⋮ The binary \(F\)-expansion method and its application for solving the \((n + 1)\)-dimensional sine-Gordon equation ⋮ On nonlinear dynamics of interacting populations: coupled kink waves in a system of two populations ⋮ Modified method of simplest equation: powerful tool for obtaining exact and approximate traveling-wave solutions of nonlinear PDEs ⋮ Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity ⋮ Application of the method of simplest equation for obtaining exact traveling-wave solutions for two classes of model PDEs from ecology and population dynamics ⋮ BIFURCATION ANALYSIS AND EXACT TRAVELING WAVE SOLUTIONS FOR A GENERIC TWO-DIMENSIONAL SINE-GORDON EQUATION IN NONLINEAR OPTICS ⋮ Analytical solution to sine-Gordon equation ⋮ On nonlinear population waves ⋮ New exact solutions of the (n+1)-dimensional sine-Gordon equation using double elliptic equation method
