Higher-order rogue wave solutions to the Kadomtsev-Petviashvili 1 equation
From MaRDI portal
Publication:2077585
DOI10.1016/j.physd.2021.132990zbMath1484.35124OpenAlexW3183815466MaRDI QIDQ2077585
Amin Chabchoub, Lijuan Guo, Jing-Song He
Publication date: 21 February 2022
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2021.132990
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)
Related Items
General rogue wave solutions under SU(2) transformation in the vector Chen-Lee-Liu nonlinear Schrödinger equation ⋮ Higher-order optical rogue waves in spatially inhomogeneous multimode fiber ⋮ High order rational solitons and their dynamics of the 3-wave resonant interaction equation ⋮ Solitons, breathers and rogue waves in the coupled nonlocal reverse-time nonlinear Schrödinger equations ⋮ Kadomtsev-Petviashvili equation: one-constraint method and lump pattern ⋮ Degenerate lump interactions within the Kadomtsev-Petviashvili equation ⋮ Integrability and high-order localized waves of the (4 + 1)-dimensional nonlinear evolution equation ⋮ Dynamics of the rogue lump in the asymmetric Nizhnik–Novikov–Veselov system ⋮ Darboux transformation for nonlinear Schrödinger type hierarchies ⋮ A special two-dimensional lattice by Blaszak and Szum: solitons, breathers, lump solutions, and their interactions and dynamics ⋮ Controllable rogue waves in a compressible hyperelastic plate ⋮ Interaction structures of multi localized waves within the Kadomtsev-Petviashvili I equation ⋮ Periodic-background solutions of Kadomtsev-Petviashvili I equation ⋮ Lump molecules in fluid systems: Kadomtsev-Petviashvili I case
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rogue waves in the ocean
- Extreme waves that appear from nowhere: on the nature of rogue waves
- Lump, lumpoff and predictable rogue wave solutions to the (2+1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation
- What makes the Peregrine soliton so special as a prototype of freak waves?
- The nonlinear dynamics of rogue waves and holes in deep-water gravity wave trains
- A novel class of solutions of the non-stationary Schrödinger and the Kadomtsev-Petviashvili I equations
- Analysis on lump, lumpoff and rogue waves with predictability to the \((2 + 1)\)-dimensional B-type Kadomtsev-Petviashvili equation
- Lumps and rogue waves of generalized Nizhnik-Novikov-Veselov equation
- Decay of Kadomtsev-Petviashvili lumps in dissipative media
- Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations
- On the discrete spectrum of the nonstationary Schrödinger equation and multipole lumps of the Kadomtsev-Petviashvili I equation
- Lump-type solutions and interaction phenomenon to the (2+1)-dimensional breaking soliton equation
- Interaction of multi-lumps within the Kadomtsev-Petviashvili equation
- Observation of rogue wave triplets in water waves
- Lump solutions to the Kadomtsev-Petviashvili equation
- Weakly two-dimensional interaction of solitons in shallow water
- Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation
- N-Soliton Solution of the Two-Dimensional Korteweg-deVries Equation
- Water waves, nonlinear Schrödinger equations and their solutions
- On the evolution of packets of water waves
- On existence of a parameter-sensitive region: quasi-line soliton interactions of the Kadomtsev–Petviashvili I equation
- Fredholm and Wronskian representations of solutions to the KPI equation and multi-rogue waves
- On the Inverse Scattering of the Time-Dependent Schrödinger Equation and the Associated Kadomtsev-Petviashvili (I) Equation
- Soliton solutions of the Korteweg de Vries and the Kadomtsev-Petviashvili equations: the Wronskian technique
- Two-dimensional lumps in nonlinear dispersive systems
- The Perturbed Plane-Wave Solutions of the Cubic Schrödinger Equation
- Inverse scattering transform for the KPI equation on the background of a one-line soliton*
- Solutions to the Time Dependent Schrödinger and the Kadomtsev-Petviashvili Equations
- Rogue periodic waves of the modified KdV equation
- Versatile rogue waves in scalar, vector, and multidimensional nonlinear systems
- General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation
- Multi-rogue waves solutions: from the NLS to the KP-I equation
