Action–angle variables and conservation laws expressed in terms of scattering data for an integrable hierarchy associated with the Zakharov

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Action–angle variables and conservation laws expressed in terms of scattering data for an integrable hierarchy associated with the Zakharov–Ito system

Published:2024-04 Issue: Volume:460 Page:134062
ISSN:0167-2789
Container-title:Physica D: Nonlinear Phenomena
language:en
Short-container-title:Physica D: Nonlinear Phenomena

Author:

Wu Zhi-Jia,Tian Shou-Fu,Yin Zhe-Yong

Funder

National Natural Science Foundation of China

Natural Science Foundation of Jiangsu Province

China University of Mining and Technology

Six Talent Peaks Project in Jiangsu Province

Project 333 of Jiangsu Province

Publisher

Elsevier BV

Reference35 articles.

1. Solitons and the Inverse Scattering Transform;Ablowitz,1981

2. Multi-Hamiltonian Theory of Dynamical Systems;Balaszak,1998

3. Soliton Equations and Hamiltonian Systems;Dickey,1994

4. Hamiltonian Methods in the Theory of Solitons;Faddeev,1987

5. Solitons in Mathematics and Physics;Newell,1985

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1. The localized excitation on the Weierstrass elliptic function periodic background for the (3+1)-dimensional generalized variable-coefficient Kadomtsev-Petviashvili equation;Physica Scripta;2024-09-10

2. Exploring the dynamics of shallow water waves and nonlinear wave propagation in hyperelastic rods: Analytical insights into the Camassa–Holm equation;Modern Physics Letters B;2024-06-15

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