Kadomtsev-Petviashvili hierarchy: \(N\)-soliton solutions and distinct dispersion relations
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Publication:901001
DOI10.1016/j.aml.2015.08.018zbMath1332.35068OpenAlexW1561224592MaRDI QIDQ901001
Publication date: 23 December 2015
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2015.08.018
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton solutions (35C08)
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Cites Work
- Unnamed Item
- Unnamed Item
- Multi-front waves for extended form of modified Kadomtsev-Petviashvili equation
- Application of the dual reciprocity boundary integral equation technique to solve the nonlinear Klein-Gordon equation
- Exact solutions of the \((2+1)\)-dimensional Zakharov-Kuznetsov modified equal width equation using Lie group analysis
- Multiple soliton solutions for a \((2 + 1)\)-dimensional integrable KdV6 equation
- A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
- Partial differential equations and solitary waves theory
- On the solutions and conservation laws of a coupled Kadomtsev-Petviashvili equation
- Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the time‐fractional KdV‐Burgers‐Kuramoto equation
- On generalized Lax equation of the Lax triple of KP Hierarchy
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