Multiple-order line rogue wave solutions of extended Kadomtsev-Petviashvili equation

DOI10.1016/j.matcom.2020.09.007OpenAlexW3083899668MaRDI QIDQ1998269

Jutong Guo, Dumitru Mihalache, Maohua Li, Jing-Song He

Publication date: 6 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2020.09.007

zbMATH Keywords

symbolic computationbilinear methodextended Kadomtsev-Petviashvili equationmultiple-order rogue waves

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Partial differential equations on manifolds; differential operators (58Jxx) Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37Kxx)

Related Items

Wronskian and lump wave solutions to an extended second KP equation ⋮ Degenerate lump interactions within the Kadomtsev-Petviashvili equation ⋮ Multiple-order rogue wave solutions to a (2+1)-dimensional Boussinesq type equation ⋮ Shape-changed propagations and interactions for the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluids ⋮ Line-rogue waves, transformed nonlinear waves and their interactions for a \((3+1)\)-dimensional Korteweg-de Vries equation in a fluid ⋮ Algebro-geometric constructions of a hierarchy of integrable semi-discrete equations ⋮ Wave propagation of resonance multi-stripes, complexitons, and lump and its variety interaction solutions to the (2+1)-dimensional pKP equation ⋮ Dynamics of transformed nonlinear waves in the (3+1)-dimensional B-type Kadomtsev-Petviashvili equation. I: Transitions mechanisms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A bilinear Bäcklund transformation of a \((3+1)\)-dimensional generalized KP equation
• Rogue waves in the ocean
• Lump solutions to a \((2+1)\)-dimensional extended KP equation
• A symbolic computation approach to constructing rogue waves with a controllable center in the nonlinear systems
• Dynamics and interaction scenarios of localized wave structures in the Kadomtsev-Petviashvili-based system
• Multiple-lump waves for a (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation arising from incompressible fluid
• Multiple rogue wave solutions of the (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq equation
• Multiple lump solutions of the (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama equation
• Rogue waves generation through multiphase solutions degeneration for the derivative nonlinear Schrödinger equation
• Lump solutions to the Kadomtsev-Petviashvili equation
• Multi-soliton, multi-breather and higher order rogue wave solutions to the complex short pulse equation
• Water waves, nonlinear Schrödinger equations and their solutions
• Inverse Scattering Transform for the Multi-Component Nonlinear Schrödinger Equation with Nonzero Boundary Conditions
• Solitons and rational solutions of nonlinear evolution equations
• KP lumps in ferromagnets: a three-dimensional KdV Burgers model
• Versatile rogue waves in scalar, vector, and multidimensional nonlinear systems
• Rational and Semirational Solutions of the Nonlocal Davey–Stewartson Equations
• Darboux Transformations and Global Explicit Solutions for Nonlocal Davey–Stewartson I Equation
• Riemann-Hilbert method and N-soliton for two-component Gerdjikov-Ivanov equation
• Mixed lump-solitons, periodic lump and breather soliton solutions for (2 + 1)-dimensional extended Kadomtsev–Petviashvili dynamical equation
• 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