Multiple rogue wave and breather solutions for the \((3+1)\)-dimensional KPI equation

DOI10.1016/j.camwa.2018.06.001zbMath1427.35227OpenAlexW2810909664MaRDI QIDQ2338353

Zhaqilao, Wenying Cui

Publication date: 21 November 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.06.001

zbMATH Keywords

symbolic computationKadomtsev-Petviashvili equationrogue wavebreather

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton solutions (35C08)

Related Items

Multiple rogue wave solutions for a variable-coefficient Kadomtsev–Petviashvili equation ⋮ Multiwave interaction solutions for a (3 + 1)-dimensional generalized BKP equation ⋮ Breather wave and traveling wave solutions for \(A\) \((2 + 1)\)-dimensional KdV4 equation ⋮ Interaction of high-order breather, periodic wave, lump, rational soliton solutions and mixed solutions for reductions of the (4+1)-dimensional Fokas equation ⋮ Shape-changed propagations and interactions for the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluids ⋮ Multiple lump solutions of the \((4+1)\)-dimensional Fokas equation ⋮ New Bilinear Bäcklund Transformation and Higher Order Rogue Waves with Controllable Center of a Generalized (3+1)-Dimensional Nonlinear Wave Equation ⋮ Rogue wave and multiple lump solutions of the \((2+1)\)-dimensional Benjamin-Ono equation in fluid mechanics ⋮ LUMP AND MIXED ROGUE-SOLITON SOLUTIONS TO THE 2+1 DIMENSIONAL ABLOWITZ-KAUP-NEWELL-SEGUR EQUATION

Cites Work

• Unnamed Item
• Rogue waves and rational solutions of a \((3+1)\)-dimensional nonlinear evolution equation
• Waves that appear from nowhere and disappear without a trace
• Comment on the \(3+1\) dimensional Kadomtsev-Petviashvili equations
• The soliton solutions, dromions of the Kadomtsev-Petviashvili and Jimbo-Miwa equations in (3 + 1)-dimensions
• Complexiton solutions to integrable equations
• Generalized method and its application in the higher-order nonlinear Schrödinger equation in nonlinear optical fibres.
• Mixed lump-kink solutions to the KP equation
• Exact solutions for nonlinear integro-partial differential equations using the generalized Kudryashov method
• Mixed lump-kink solutions to the BKP equation
• A symbolic computation approach to constructing rogue waves with a controllable center in the nonlinear systems
• Exact solutions for nonlinear integral member of Kadomtsev-Petviashvili hierarchy differential equations using the modified (w/g)- expansion method
• Two B-type Kadomtsev-Petviashvili equations of \((2+1)\) and \((3+1)\) dimensions: multiple soliton solutions, rational solutions and periodic solutions
• Diversity of interaction solutions to the \((2+1)\)-dimensional ito equation
• Rogue wave for the (\(2 + 1\))-dimensional Kadomtsev-Petviashvili equation
• Lump solutions to the Kadomtsev-Petviashvili equation
• Rogue Wave with a Controllable Center of Nonlinear Schrödinger Equation
• Financial Rogue Waves
• Water waves, nonlinear Schrödinger equations and their solutions
• Dynamics of rogue waves in the Davey–Stewartson II equation
• Rogue waves in nonlinear Schrödinger models with variable coefficients: application to Bose-Einstein condensates