The \(N\)-soliton solutions of the sine-Gordon equation with self-consistent sources
From MaRDI portal
Publication:1867891
DOI10.1016/S0378-4371(02)01742-9zbMath1011.35116OpenAlexW1992182052MaRDI QIDQ1867891
Publication date: 2 April 2003
Published in: Physica A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0378-4371(02)01742-9
Related Items
Self-consistent sources for integrable equations via deformations of binary Darboux transformations ⋮ Discrete three-dimensional three wave interaction equation with self-consistent sources ⋮ Integrability of a differential-difference KP equation with self-consistent sources ⋮ 2D Toda lattice equation with self-consistent sources: Casoratian type solutions, bilinear Bäcklund transformation and Lax pair ⋮ Integrability of the semi-discrete Toda equation with self-consistent sources ⋮ The non-isospectral modified Kadomtsev-Petviashvili equation with self-consistent sources and its coupled system ⋮ On the integration of the periodic Camassa-Holm equation with an integral-type source ⋮ On the differential-difference sine-Gordon equation with an integral type source ⋮ Unnamed Item ⋮ Generalized Darboux transformation for the discrete Kadomtsev-Petviashvili equation with self-consistent sources ⋮ Solutions and Painlevé property for the KdV equation with self-consistent source ⋮ The generalized Wronskian solutions of a inverse KdV hierarchy ⋮ Integration of equations of Kaup system kind with self-consistent source in class of periodic functions ⋮ Source generation of the Davey-Stewartson equation ⋮ The soliton solutions for the nonlinear Schrödinger equation with self-consistent source ⋮ Mixed solutions in the wronskian form for a nonisospectral equation ⋮ Ishimori-I equation with self-consistent sources ⋮ On the pfaffianized-KP equation with self-consistent sources ⋮ Discrete KP equation with self-consistent sources ⋮ Exact solutions and conservation laws for a nonisospectral sine-Gordon equation ⋮ On the periodic Toda lattice hierarchy with an integral source ⋮ Generalized dressing method for the extended two-dimensional Toda lattice hierarchy and its reductions ⋮ The non-isospectral and variable-coefficient KP equation with self-consistent sources and new coupled system ⋮ Elastic-inelastic-interaction coexistence and double Wronskian solutions for the Whitham-Broer-Kaup shallow-water-wave model ⋮ A three-wave interaction model with self-consistent sources: the \(\overline{\partial}\)-dressing method and solutions ⋮ Singular solutions in Casoratian form for two differential-difference equations ⋮ Rota-Baxter operators on pre-Lie algebras ⋮ Integration of the sine-Gordon equation with a self-consistent source of the integral type in the case of multiple eigenvalues ⋮ On the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources ⋮ Lie symmetries of soliton equations with self-consistent sources via source generation procedure ⋮ Bilinear Identities and Hirota's Bilinear Forms for an Extended Kadomtsev-Petviashvili Hierarchy ⋮ On the modified discrete KP equation with self-consistent sources ⋮ BÄCKLUND TRANSFORMATION OF A NON-ISOSPECTRAL KPESCS AND ITS NONLINEAR COUPLED SYSTEM ⋮ \(N\)-soliton solutions for a \((2+1)\)-dimensional breaking soliton equation with self-consistent sources ⋮ Unnamed Item ⋮ On an integrable differential-difference equation with a source ⋮ Integration of the sine-Gordon equation with a source and an additional term ⋮ On the general variable-coefficient KP equation with self-consistent sources
Cites Work
- Unnamed Item
- Interaction of solitary waves in the system described by the Kadomtsev- Petviashvili equation with a self-consistent source
- Integration of the soliton hierarchy with self-consistent sources
- Two binary Darboux transformations for the KdV hierarchy with self-consistent sources
- Solution of an initial-boundary value problem for coupled nonlinear waves
- Soliton Solutions of Non-linear Evolution Equations
- The use of Backlund transformations in obtaining N-soliton solutions in Wronskian form
- 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
- New method for deriving nonlinear integrable systems
- Integration of the nonlinear Schrodinger equation with a source
- The inverse scattering transform: Semi-infinite interval
- Integration of the modified Korteweg-de Vries hierarchy with an integral type of source
- The Lax representation and Darboux transformation for constrained flows of the AKNS hierarchy
