LUMP SOLUTIONS TO THE GENERALIZED (2+1)-DIMENSIONAL B-TYPE KADOMTSEV-PETVIASHVILI EQUATION
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Publication:5858031
DOI10.11948/20190183zbMath1464.35278OpenAlexW3022763157MaRDI QIDQ5858031
Benzhi Cai, Hanze Liu, Zhenli Wang, Li-Hua Zhang
Publication date: 9 April 2021
Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11948/20190183
Symbolic computation and algebraic computation (68W30) 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) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Uses Software
Cites Work
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- Lump solutions to dimensionally reduced \(p\)-gKP and \(p\)-gBKP equations
- Solitons and infinite dimensional Lie algebras
- Evolution of lump solutions for the KP equation
- Analysis on lump, lumpoff and rogue waves with predictability to the \((2 + 1)\)-dimensional B-type Kadomtsev-Petviashvili equation
- High order nonlocal symmetries and exact interaction solutions of the variable coefficient KdV equation
- Nonlocal symmetries and exact solutions of the \((2+1)\)-dimensional generalized variable coefficient shallow water wave equation
- Bäcklund transformation, rogue wave solutions and interaction phenomena for a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili-Boussinesq equation
- Rogue waves, bright-dark solitons and traveling wave solutions of the \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation
- Breather waves and rational solutions in the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
- Integrability, soliton solutions and modulation instability analysis of a (2+1)-dimensional nonlinear Heisenberg ferromagnetic spin chain equation
- Riemann-Hilbert method and multi-soliton solutions for three-component coupled nonlinear Schrödinger equations
- Lump solutions to the Kadomtsev-Petviashvili equation
- Nonlocal symmetries, exact solutions and conservation laws of the coupled Hirota equations
- A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
- On the combinatorics of the HirotaD-operators
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–
- Two-dimensional lumps in nonlinear dispersive systems
- The lump solutions and the Bäcklund transformation for the three-dimensional three-wave resonant interaction
- A new hierarchy of Korteweg–de Vries equations
- Method for Solving the Korteweg-deVries Equation
