Exact Solutions of Ablowitz—Ladik Hierarchy with Self-Consistent Sources Revisited and Reductions

DOI10.1088/0253-6102/62/1/02zbMath1294.37028OpenAlexW2231095147MaRDI QIDQ2877395

Qiuyuan Duan, Qi Li, Jian-Bing Zhang, Deng-Yuan Chen

Publication date: 22 August 2014

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/62/1/02

zbMATH Keywords

multi-soliton solutionAblowitz-Ladik hierarchy with self-consistent sourcesdiscrete mKdV hierarchy with self-consistent sourcesdiscrete nonlinear Schrödinger hierarchy with self-consistent sourcesinverse scatering transform

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton solutions (35C08)

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The inverse scattering transform for the differential-difference Kadomtsev-Petviashvili equation

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