Direct separation approach and multi-valued localized excitation for (M+N)-dimensional nonlinear system
DOI10.1016/J.CJPH.2023.03.010zbMATH Open1541.35431MaRDI QIDQ6537021
Yingying Xie, Jingyu Wu, Lingfei Li
Publication date: 14 May 2024
Published in: Chinese Journal of Physics (Taipei) (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) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Soliton solutions (35C08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Title not available (Why is that?)
- Novel soliton interaction behaviours in the \((2+1)\)-dimensional asymmetric Nizhnik-Novikov-Veselov system
- Symbolic computation of the Painlevé test for nonlinear partial differential equations using Maple
- Searching for Painlevé integrable conditions of nonlinear PDEs with constant parameters using symbolic computation
- A new exact solution and corresponding localized excitations of the \((2+1)\)-dimensional mKdV equation
- Dromions and a boundary value problem for the Davey-Stewartson 1 equation
- Separation of variables and exact solutions to quasilinear diffusion equations with nonlinear source
- Compacton, peakon and folded localized excitations for the \((2+1)\)-dimensional Broer-Kaup system
- Folded solitary waves and foldons in the (2 + 1)-dimensional breaking soliton equation
- Interactions between exotic multi-valued solitons of the \((2+1)\)-dimensional Korteweg-de Vries equation describing shallow water wave
- Doubly periodic wave and folded solitary wave solutions for \((2+1)\)-dimensional higher-order Broer-Kaup equation
- Solitons and rational solutions of nonlinear evolution equations
- Novel variable separation solutions and exotic localized excitations via the ETM in nonlinear soliton systems
- New variable separation approach: application to nonlinear diffusion equations
- Localized excitations of the (2 1)-dimensional sine-Gordon system
- Nonlinear interaction of traveling waves of nonintegrable equations
- Formal variable separation approach for nonintegrable models
- Extended multilinear variable separation approach and multivalued localized excitations for some (2+1)-dimensional integrable systems
- Abundant interaction between lump and k-kink, periodic and other analytical solutions for the (3+1)-D Burger system by bilinear analysis
- Cross-kink wave, solitary, dark, and periodic wave solutions by bilinear and He’s variational direct methods for the KP–BBM equation
- Variable Separation Solution for (1+1)-Dimensional Nonlinear Models Related to Schrödinger Equation
This page was built for publication: Direct separation approach and multi-valued localized excitation for (M+N)-dimensional nonlinear system
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6537021)
