An integrable coupled Alice–Bob modified Korteweg de-Vries system: Lax pairs, Bäcklund transformations, residual symmetries and exact solutions
DOI10.1080/17455030.2018.1498143zbMath1504.35451OpenAlexW2911348922MaRDI QIDQ5104297
Feng Chi, Shunli Zhang, Jianghao Wang, Ping Liu, Huabin Zhang
Publication date: 9 September 2022
Published in: Waves in Random and Complex Media (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17455030.2018.1498143
exact solutionBäcklund transformationLax pairresidual symmetriesAlice-Bob modified Korteweg de-Vries equation
KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Geometric theory, characteristics, transformations in context of PDEs (35A30)
Cites Work
- Unnamed Item
- Bosonization, singularity analysis, nonlocal symmetry reductions and exact solutions of supersymmetric KdV equation
- An extended auxiliary function method and its application in mKdV equation
- A new periodic solution to Jacobi elliptic functions of MKdV equation and BBM equation
- Integrability of the coupled KdV equations derived from two-layer fluids: prolongation structures and Miura transformations
- Symmetry reduction related with nonlocal symmetry for Gardner equation
- On a nonlocal modified Korteweg-de Vries equation: integrability, Darboux transformation and soliton solutions
- The \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation: nonlocal symmetries and interaction solutions
- The Lie Algebra Structure of Degenerate Hamiltonian and Bi-Hamiltonian Systems
- Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
- CRE Method for Solving mKdV Equation and New Interactions Between Solitons and Cnoidal Periodic Waves
- Consistent Riccati Expansion for Integrable Systems
- Bosonized Supersymmetric Sawada–Kotera Equations: Symmetries and Exact Solutions*
- Various Kinds Waves and Solitons Interaction Solutions of Boussinesq Equation Describing Ultrashort Pulse in Quadratic Nonlinear Medium
- Exact Solutions of Atmospheric (2+1)-Dimensional Nonlinear Incompressible Non-hydrostatic Boussinesq Equations
- Exact soliton solutions for the interaction of few-cycle-pulse with nonlinear medium
- Nonlocal symmetry and exact solutions of the \((2+1)\)-dimensional Gardner equation
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