The non-isospectral modified Kadomtsev-Petviashvili equation with self-consistent sources and its coupled system

DOI10.1016/j.amc.2009.08.053zbMath1202.35261OpenAlexW2119588884MaRDI QIDQ609313

Ye-Peng Sun

Publication date: 30 November 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.08.053

zbMATH Keywords

coupled systemself-consistent sourcessource generation procedureGrammian determinant solutionnon-isospectral modified KP equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05)

Related Items

\(N\)-soliton solutions of the nonisospectral generalized Sawada-Kotera equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The multisoliton solutions for the nonisospectral mKPI equation with self-consistent sources
• Grammian solutions and Pfaffianization of the non-isospectral modified Kadomtsev-Petviashvili equation
• The higher-order KdV equation with a source and nonlinear superposition formula.
• Integrability of the semi-discrete Toda equation with self-consistent sources
• Interaction of solitary waves in the system described by the Kadomtsev- Petviashvili equation with a self-consistent source
• The \(N\)-soliton solutions of the sine-Gordon equation with self-consistent sources
• Pfaffianization of the two-dimensional Toda lattice
• On the pfaffianized-KP equation with self-consistent sources
• New non-isospectral integrable couplings of the AKNS system
• Integration of the soliton hierarchy with self-consistent sources
• A bilinear approach to a Pfaffian self-dual Yang-Mills equation
• Pfaffianization of the discrete KP equation
• Two binary Darboux transformations for the KdV hierarchy with self-consistent sources
• Binary symmetry constraints of N-wave interaction equations in 1+1 and 2+1 dimensions
• Integral-Type Darboux Transformations for the mKdV Hierarchy with Self-Consistent Sources
• Integration of the Korteweg-de Vries equation with a source
• Construction of dKP and BKP equations with self-consistent sources
• Hierarchies of Coupled Soliton Equations. I
• Nonlinear superposition formula of the KdV equation with a source
• Soliton, Positon and Negaton Solutions to a Schrödinger Self-consistent Source Equation
• Bilinear Backlund transformation for the KdV equation with a source
• An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems