The D’Alembert type waves and the soliton molecules in a (2+1)-dimensional Kadomtsev-Petviashvili with its hierarchy equation*
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Publication:6046357
DOI10.1088/1572-9494/ac11efzbMath1514.35098OpenAlexW3182382805MaRDI QIDQ6046357
Huiling Wu, Zheng-Yi Ma, Jinxi Fei, Sheng-Wan Fan
Publication date: 10 May 2023
Published in: Communications in Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1572-9494/ac11ef
Soliton equations (35Q51) Initial value problems for nonlinear higher-order PDEs (35G25) Soliton solutions (35C08) Integro-partial differential equations (35R09)
Cites Work
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- Constructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equation
- Multi-front waves for extended form of modified Kadomtsev-Petviashvili equation
- State transition of lump-type waves for the \((2+1)\)-dimensional generalized KdV equation
- Kadomtsev-Petviashvili hierarchy: \(N\)-soliton solutions and distinct dispersion relations
- On \(W_{1 + \infty}\) 3-algebra and integrable system
- Partial differential equations and solitary waves theory
- Searching for missing d'Alembert waves in nonlinear system: Nizhnik-Novikov-Veselov equation
- Soliton molecules in Sharma-Tasso-Olver-Burgers equation
- Wick-type stochastic multi-soliton and soliton molecule solutions in the framework of nonlinear Schrödinger equation
- \(N\)-soliton solutions for the combined KdV-CDG equation and the KdV-Lax equation
- Soliton molecules and mixed solutions of the (2+1)-dimensional bidirectional Sawada–Kotera equation
- On generalized Lax equation of the Lax triple of KP Hierarchy
- A physics-constrained deep residual network for solving the sine-Gordon equation
