Solitons and lump waves to the elliptic cylindrical Kadomtsev-Petviashvili equation
DOI10.1016/j.cnsns.2024.107837OpenAlexW4390777097MaRDI QIDQ6203091
Zhao Zhang, Xiangyu Yang, Zhen Wang
Publication date: 27 February 2024
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.2024.107837
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Free boundary problems for PDEs (35R35) Resonance in context of PDEs (35B34) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08) Euler equations (35Q31)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bäcklund transformations and their applications
- The Johnson equation, Fredholm and Wronskian representations of solutions, and the case of order three
- Rogue waves, semirational rogue waves and W-shaped solitons in the three-level coupled Maxwell-Bloch equations
- Three types of Darboux transformation and general soliton solutions for the space-shifted nonlocal \(\mathcal{PT}\) symmetric nonlinear Schrödinger equation
- Predictability, fast calculation and simulation for the interaction solutions to the cylindrical Kadomtsev-Petviashvili equation
- Lump solutions to the Kadomtsev-Petviashvili equation
- Cylindrical Kadomtsev-Petviashvili equation: old and new results
- Degenerate lump interactions within the Kadomtsev-Petviashvili equation
- On the integrable elliptic cylindrical Kadomtsev-Petviashvili equation
- Solitary Wave Solutions of KP equation, Cylindrical KP Equation and Spherical KP Equation
- Solitons and rational solutions of nonlinear evolution equations
- On the Inverse Scattering of the Time-Dependent Schrödinger Equation and the Associated Kadomtsev-Petviashvili (I) Equation
- A brief historical introduction to solitons and the inverse scattering transform–a vision of Scott Russell
- Two-dimensional lumps in nonlinear dispersive systems
- Water waves and Korteweg–de Vries equations
- The Generation and Evolution of Lump Solitary Waves in Surface-Tension-Dominated Flows
- The KP theory and Mach reflection
- Lump chains in the KP‐I equation