On an integrable differential-difference equation with a source

DOI10.2991/jnmp.2006.13.2.3zbMath1110.35346OpenAlexW2106105812MaRDI QIDQ3432954

Xing-Biao Hu, Hasi Gegen

Publication date: 19 April 2007

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/jnmp.2006.13.2.3

zbMATH Keywords

bilinear Bäcklund transformationmultisoliton solutionself consistent sources

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (15)

The modified two-dimensional Toda lattice with self-consistent sources ⋮ Discrete three-dimensional three wave interaction equation with self-consistent sources ⋮ Self-Consistent Sources Extensions of Modified Differential-Difference KP Equation ⋮ Commutativity of source generation procedure and Bäcklund transformation: a BKP equation ⋮ \(M\)-lump solution, semirational solution, and self-consistent source extension of a novel \(( 2 + 1)\)-dimensional KdV equation ⋮ 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 ⋮ Solutions and Painlevé property for the KdV equation with self-consistent source ⋮ On an integrable two-dimensional special lattice with self-consistent sources ⋮ Ishimori-I equation with self-consistent sources ⋮ On the pfaffianized-KP equation with self-consistent sources ⋮ The modified semi-discrete two-dimensional Toda lattice with self-consistent sources ⋮ On the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources ⋮ On the modified discrete KP equation with self-consistent sources

Cites Work

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• Negaton and positon solutions of the soliton equation with self-consistent sources
• Bilinear Backlund transformation for the KdV equation with a source
• TheN-Soliton Solutions for the Modified KdV Equation with Self-Consistent Sources

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