Dynamics of the breather waves, rogue waves and solitary waves in an extend Kadomtsev-Petviashvili equation

DOI10.1016/j.aml.2018.03.017OpenAlexW2794813951MaRDI QIDQ1644137

Xiu-Bin Wang, Li Zou, Zong-Bing Yu

Publication date: 21 June 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.03.017

zbMATH Keywords

solitary waverogue wavehomoclinic breather limit methodbreather waveextend Kadomtsev-Petviashvili equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items

Breather wave and traveling wave solutions for \(A\) \((2 + 1)\)-dimensional KdV4 equation, Construction of abundant solutions of the \((2+1)\)-dimensional time-dependent Date-Jimbo-Kashiwara-Miwa equation, Collisions between lump and soliton solutions, Breather and rogue wave solutions for the \((2+1)\)-dimensional nonlinear Schrödinger-Maxwell-Bloch equation, The solitary wave, rogue wave and periodic solutions for the \((3+1)\)-dimensional soliton equation, Stripe solitons and lump solutions to a generalized \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation with variable coefficients in fluid dynamics, Characteristics of Rogue Waves on a Soliton Background in the General Coupled Nonlinear Schrödinger Equation, Interaction phenomenon and breather wave to the extend \((3 + 1)\)-dimensional Kadomtsev-Petviashvili equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Wronskian and Grammian solutions to a \((3 + 1)\)-dimensional generalized KP equation
• Applications of HTA and EHTA to YTSF equation
• Bäcklund transformation, rogue wave solutions and interaction phenomena for a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili-Boussinesq equation
• Vector financial rogue waves
• Riemann theta functions periodic wave solutions and rational characteristics for the \((1+1)\)-dimensional and \((2+1)\)-dimensional Itô equation
• Persistence of rogue waves in extended nonlinear Schrödinger equations: integrable Sasa-Satsuma case
• On breather waves, rogue waves and solitary waves to a generalized (2+1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation
• Rogue wave for the (\(2 + 1\))-dimensional Kadomtsev-Petviashvili equation
• Lump solutions to the Kadomtsev-Petviashvili equation
• Exact solutions of generalized Burgers equation, describing travelling fronts and their interaction
• Water waves, nonlinear Schrödinger equations and their solutions
• Solutions to the Time Dependent Schrödinger and the Kadomtsev-Petviashvili Equations
• Symmetries and differential equations