Quasi-periodic solution of a new (2+1)-dimensional coupled soliton equation

DOI10.1088/0305-4470/34/1/315zbMath0992.37068OpenAlexW1975249311MaRDI QIDQ2716824

Jinshun Zhang, Yong-Tang Wu

Publication date: 16 May 2001

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/34/1/315

zbMATH Keywords

quasi-periodic solutionsRiemann theta functionscoupled mKdV equation\((2+1)\) coupled soliton equationLevi eigenvalue

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to PDEs (35B15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

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Nonlocal symmetry, exact solutions and conservation laws of the \((1+1)\)-dimensional Levi equation ⋮ A generalized Zakharov-Shabat equation with finite-band solutions and a soliton-equation hierarchy with an arbitrary parameter ⋮ An integrable \((2+1)\)-dimensional Toda equation with two discrete variables ⋮ Multi-kink solutions and soliton fission and fusion of Sharma-Tasso-Olver equation ⋮ Explicit solutions of a finite-dimensional integrable system ⋮ Quasi-periodic solution of the \((2+1)\)-dimensional Boussinesq-Burgers soliton equation ⋮ Liouville integrable \(N\)-Hamiltonian structures, involutive solutions and separation of variables associated with Kaup-Newell hierarchy.

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