Coverings and nonlocal symmetries as well as fundamental solutions of nonlinear equations derived from the nonisospectral AKNS hierarchy
From MaRDI portal
Publication:2160929
DOI10.1016/j.cnsns.2022.106622zbMath1502.37071OpenAlexW4283080008MaRDI QIDQ2160929
Publication date: 3 August 2022
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2022.106622
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Invertible linear transformations and the Lie algebras
- Lie group symmetries as integral transforms of fundamental solutions
- Conservation laws by symmetries and adjoint symmetries
- Algebraic structure of the operator related to stationary systems
- \(N\)-soliton solution of a combined pKP-BKP equation
- Soliton solutions to the B-type Kadomtsev-Petviashvili equation under general dispersion relations
- A method for generating isospectral and nonisospectral hierarchies of equations as well as symmetries
- Noether-type symmetries and conservation laws via partial Lagrangians
- \(N\)-soliton solution and the Hirota condition of a (2+1)-dimensional combined equation
- A Multipotential Generalization of the Nonlinear Diffusion Equation
- Quasi-periodic waves and an asymptotic property for the asymmetrical Nizhnik–Novikov–Veselov equation
- The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
- An approach for constructing nonisospectral hierarchies of evolution equations
- Lax representations and Lax operator algebras of isospectral and nonisospectral hierarchies of evolution equations
- Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
- A direct method for integrable couplings of TD hierarchy
- A powerful approach to generate new integrable systems
- Nonlinear self-adjointness, conservation laws, and the construction of solutions of partial differential equations using conservation laws
- Generation of Nonlinear Evolution Equations by Reductions of the Self-Dual Yang—Mills Equations
This page was built for publication: Coverings and nonlocal symmetries as well as fundamental solutions of nonlinear equations derived from the nonisospectral AKNS hierarchy
