Nonlocal symmetries and solutions of the \((2+1)\) dimension integrable Burgers equation
DOI10.1016/j.aml.2023.108867zbMath1528.35153MaRDI QIDQ6066894
Jia-jia Yang, Yarong Xia, Xiang-Peng Xin, Meng Jin
Publication date: 16 November 2023
Published in: Applied Mathematics Letters (Search for Journal in Brave)
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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)
Cites Work
- Nonlocal symmetries and the theory of coverings: An addendum to A. M. Vinogradov's 'Local Symmetries and Conservation Laws'
- Applications of symmetry methods to partial differential equations
- Lie symmetry, nonlocal symmetry analysis, and interaction of solutions of a \((2+1)\)-dimensional KdV-mKdV equation
- New local and nonlocal soliton solutions of a nonlocal reverse space-time mKdV equation using improved Hirota bilinear method
- Localized excitations and interactional solutions for the reduced Maxwell-Bloch equations
- CRE solvability and soliton-cnoidal wave interaction solutions of the dissipative \((2+1)\)-dimensional AKNS equation
- Nonlocal symmetries, exact solutions and conservation laws of the coupled Hirota equations
- Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation
- Integrability and high-order localized waves of the (4 + 1)-dimensional nonlinear evolution equation
- Nonlocal symmetries related to Bäcklund transformation and their applications
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- New nonlocal symmetries with pseudopotentials
- Bäcklund transformation and the Painlevé property
- A novel \((2 + 1)\)-dimensional nonlinear Schrödinger equation deformed from \((1 + 1)\)-dimensional nonlinear Schrödinger equation
- Higher-dimensional integrable deformations of the modified KdV equation
- Searching For (2+1)-dimensional nonlinear Boussinesq equation from (1+1)-dimensional nonlinear Boussinesq equation
This page was built for publication: Nonlocal symmetries and solutions of the \((2+1)\) dimension integrable Burgers equation
