Higher-order rogue wave solutions to the Kadomtsev-Petviashvili 1 equation

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

zbMATH Keywords

nonlinear wavesKadomtsev-Petviashvili equationbinary Darboux transformationKP1 equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)

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Cites Work

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• 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