The Second mKdV Equation and Its Hereditary Symmetry and Hamiltonian Structure

DOI10.1088/0253-6102/47/1/005zbMath1355.35166OpenAlexW2071687714MaRDI QIDQ2959138

Jie Ji, Yuqing Liu, Yu-Qin Yao, Deng-Yuan Chen

Publication date: 7 February 2017

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

Full work available at URL: https://doi.org/10.1088/0253-6102/47/1/005

zbMATH Keywords

Hamiltonian structurehereditary symmetrythe second mKdV equation

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) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Operator algebra methods applied to problems in quantum theory (81R15)

Cites Work

• A generalized Boite-Pempinelli-Tu (BPT) hierarchy and its bi-Hamiltonian structure
• Integration of the soliton hierarchy with self-consistent sources
• Integrable evolution systems based on Gerdjikov–Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and N-fold Darboux transformation
• Wave Propagation in Nonlinear Lattice. I
• Second Modified KdV Equation and Its Exact Multi-Soliton Solution
• New Liouville integrable noncanonical Hamiltonian systems from the AKNS spectral problem

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