The Transformation between the AKNS Hierarchy and the KN Hierarchy with Self-Consistent Sources

DOI10.1142/S1402925111001775zbMath1252.37067OpenAlexW2065977840MaRDI QIDQ3117936

Qiuyuan Duan, Qi Li, Wen Zhang, Deng-Yuan Chen

Publication date: 1 March 2012

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

Full work available at URL: https://doi.org/10.1142/s1402925111001775

zbMATH Keywords

AKNS hierarchytransformationself-consistent sourcesKN hierarchy

Mathematics Subject Classification ID

Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Nonlinear evolution equations (47J35)

Related Items (1)

Camassa-Holm and Myrzakulov-CIV equations with self-consistent sources: geometry and peakon solutions

Cites Work

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• Closure of the squared Zakharov-Shabat eigenstates
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• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
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• Conservation laws of some soliton equations with self-consistent sources
• A Direct Method of Hamiltonian Structure
• Generalized Darboux transformations for the KP equation with self-consistent sources
• Solution of an initial-boundary value problem for coupled nonlinear waves
• Solving the hierarchy of the nonisospectral KdV equation with self-consistent sources via the inverse scattering transform
• An extended Harry Dym hierarchy
• Squared eigenfunctions for the Sasa–Satsuma equation
• Integration of the nonlinear Schrodinger equation with a source
• A Perturbation Expansion for the Zakharov–Shabat Inverse Scattering Transform
• Soliton, Positon and Negaton Solutions to a Schrödinger Self-consistent Source Equation
• TheN-Soliton Solutions for the Modified KdV Equation with Self-Consistent Sources

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