Classification of Dark Modified KdV Equation

DOI10.1088/0253-6102/68/1/13zbMath1370.35242OpenAlexW2739427411MaRDI QIDQ5357119

Sen-yue Lou, Na Xiong, Biao Li, Yong Chen

Publication date: 14 September 2017

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

Full work available at URL: https://semanticscholar.org/paper/6c95fa0fa075057d66f32fa441f5190dbfa1fc70

zbMATH Keywords

recursion operatordark equationsthe modified KdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items

Quasi-linearization and stability analysis of some self-dual, dark equations and a new dynamical system ^†, Solitons and soliton molecules in two nonlocal Alice–Bob Sawada–Kotera systems, Solitons and soliton molecules in two nonlocal Alice-Bob fifth-order KdV systems

Cites Work

• Unnamed Item
• Recursion operators and bi-Hamiltonian structures in multidimensions. II
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• Recursion operators and bi-Hamiltonian structures in multidimensions. I
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• A generalized Wadati-Konno-Ichikawa hierarchy and new finite-dimensional integrable systems
• The bi-Hamiltonian structure of the perturbation equations of the KdV hierarchy.
• Dark Equations
• A hierarchy of generalized AKNS equations, N-Hamiltonian structures and finite-dimensional involutive systems and integrable systems
• Integrable couplings of vector AKNS soliton equations
• Symmetries and Integrability
• Relations among generalized Korteweg–deVries systems
• Factorization of operators I. Miura transformations
• On the use of isospectral eigenvalue problems for obtaining hereditary symmetries for Hamiltonian systems
• On construction of recursion operators from Lax representation
• Integrable KP Coupling and Its Exact Solution
• A Liouville integrable Hamiltonian system associated with a generalized Kaup-Newell spectral problem