GENERALIZED mKdV EQUATION, LIOUVILLE EQUATION, SINE-GORDON EQUATION AND SINH-GORDON EQUATION AS WELL AS A FORMAL BÄCKLUND TRANSFORMATION
DOI10.1142/S0217979211101387zbMath1333.37112OpenAlexW2093621560MaRDI QIDQ2797219
Jing Zhao, Hon-Wah Tam, Yu-Feng Zhang
Publication date: 5 April 2016
Published in: International Journal of Modern Physics B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0217979211101387
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) Applications of Lie groups to the sciences; explicit representations (22E70) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (1)
Cites Work
- Unnamed Item
- Variational identities and applications to Hamiltonian structures of soliton equations
- Multi-component bi-Hamiltonian Dirac integrable equations
- A Hamiltonian structure associated with a matrix spectral problem of arbitrary-order
- A few integrable systems and spatial spectral transformations
- Integrable theory of the perturbation equations.
- Semi-direct sums of Lie algebras and continuous integrable couplings
- Darboux transformations of classical Boussinesq system and its new solutions
- Bäcklund transformations and exact solutions for some nonlinear evolution equations in solar magnetostatic models
- An approach for constructing loop algebra via exterior algebra and its applications
- Simple Derivation of Backlund Transformation from Riccati Form of Inverse Method
- A family of completely integrable multi-Hamiltonian systems explicitly related to some celebrated equations
- The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- A hierarchy of coupled Burgers systems possessing a hereditary structure
- A nonconfocal involutive system and constrained flows associated with the MKdV− equation
- Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
- The quadratic-form identity for constructing the Hamiltonian structure of integrable systems
- A Liouville integrable Hamiltonian system associated with a generalized Kaup-Newell spectral problem
This page was built for publication: GENERALIZED mKdV EQUATION, LIOUVILLE EQUATION, SINE-GORDON EQUATION AND SINH-GORDON EQUATION AS WELL AS A FORMAL BÄCKLUND TRANSFORMATION