The multisoliton solutions for the nonisospectral mKPI equation with self-consistent sources

DOI10.1016/j.physleta.2007.07.060zbMath1217.35141OpenAlexW2074840704MaRDI QIDQ552576

Shu-Fang Deng

Publication date: 26 July 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.07.060

zbMATH Keywords

Hirota methodWronskian techniquenonisospectral mKPI equation with self-consistent sources

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51) Isospectrality (58J53)

Related Items (7)

The rogue waves of the KP equation with self-consistent sources ⋮ Self-consistent sources and conservation laws for nonlinear integrable couplings of the Li soliton hierarchy ⋮ The non-isospectral modified Kadomtsev-Petviashvili equation with self-consistent sources and its coupled system ⋮ Multi-soliton and Pfaffian solutions of a \((2+1)\)-dimensional nonlinear evolution equation via the Jaulent-Miodek hierarchy ⋮ Painlevé integrability, similarity reductions, new soliton and soliton-like similarity solutions for the \((2+1)\)-dimensional BKP equation ⋮ The non-isospectral and variable-coefficient KP equation with self-consistent sources and new coupled system ⋮ Grammian solutions and Pfaffianization of the non-isospectral modified Kadomtsev-Petviashvili equation

Cites Work

• The multisoliton solutions for the nonisospectral mKP equation
• A direct method for deriving a multi-soliton solution for the problem of interaction of waves on the x,y plane
• Capture and confinement of solitons in nonlinear integrable systems
• The \(N\)-soliton solutions of some soliton equations with self-consistent sources
• Interaction of solitary waves in the system described by the Kadomtsev- Petviashvili equation with a self-consistent source
• Solving the KdV hierarchy with self-consistent sources by inverse scattering method
• Complexiton solutions of the Korteweg-de Vries equation with self-consistent sources
• Integration of the soliton hierarchy with self-consistent sources
• Solution of an initial-boundary value problem for coupled nonlinear waves
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• New method for deriving nonlinear integrable systems
• Integrable Nonlinear Equations for Water Waves in Straits of Varying Depth and Width
• Line soliton interactions of a nonisospectral and variable-coefficient Kadomtsev–Petviashvili equation

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