BILINEAR FORM AND SOLITON SOLUTIONS FOR THE COUPLED NONLINEAR KLEIN–GORDON EQUATIONS
From MaRDI portal
Publication:4914485
DOI10.1142/S0217979212500579zbMath1260.35206OpenAlexW1984379389MaRDI QIDQ4914485
He Li, Bo Tian, Xiang-Hua Meng
Publication date: 12 April 2013
Published in: International Journal of Modern Physics B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0217979212500579
bilinear formsoliton solutioncoupled nonlinear Klein-Gordon equationsPainlevé expansion with two singular manifolds
NLS equations (nonlinear Schrödinger equations) (35Q55) Painlevé-type functions (33E17) Soliton solutions (35C08)
Related Items (1)
Cites Work
- Wronskian solutions and integrability for a generalized variable-coefficient forced Korteweg-de Vries equation in fluids
- Symbolic computation on cylindrical-modified dust-ion-acoustic nebulons in dusty plasmas
- Variable-coefficient higher-order nonlinear Schrödinger model in optical fibers: variable-coefficient bilinear form, Bäcklund transformation, Brightons and symbolic computation
- Symbolic computation on generalized Hopf-Cole transformation for a forced Burgers model with variable coefficients from fluid dynamics
- Bilinear transformation method
- Symbolic-computation study of the perturbed nonlinear Schrödinger model in inhomogeneous optical fibers
- A vector potential KdV equation and vector Ito equation: Soliton solutions, bilinear Bäcklund transformations and Lax pairs.
- Complexiton solutions to the Korteweg-de Vries equation
- Soliton solutions of coupled nonlinear Klein--Gordon equations
- Nonlinear Klein-Gordon equation
- Painlevé analysis and complete integrability of coupled Klein-Gordon equations
- Comment on: ``Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation
- Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation
- Complexiton solutions of the Korteweg-de Vries equation with self-consistent sources
- New Weierstrass elliptic function solutions of the \(N\)-coupled nonlinear Klein-Gordon equations
- Symbolic computation and new families of exact soliton-like solutions to the integrable Broer-Kaup (BK) equations in (2+1)-dimensional spaces
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- A New Form of Backlund Transformations and Its Relation to the Inverse Scattering Problem
- Inelastic interactions and double Wronskian solutions for the Whitham–Broer–Kaup model in shallow water
- Wronskian solutions of the Boussinesq equation—solitons, negatons, positons and complexitons
- Periodic wave solutions of the Boussinesq equation
- Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
- The Galerkin-averaging method for the Klein-Gordon equation in two space dimensions
This page was built for publication: BILINEAR FORM AND SOLITON SOLUTIONS FOR THE COUPLED NONLINEAR KLEIN–GORDON EQUATIONS