\(N\)-soliton, \(M\)-breather and hybrid solutions of a time-dependent Kadomtsev-Petviashvili equation
From MaRDI portal
Publication:2076729
DOI10.1016/j.matcom.2021.10.025OpenAlexW3211949639MaRDI QIDQ2076729
Publication date: 22 February 2022
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2021.10.025
Hirota bilinear method\(N\)-soliton solutionshybrid solutions\(M\)-breather solutionstime-dependent Kadomtsev-Petviashvili equation
Related Items
Combined damped sinusoidal oscillation solutions to the \((3 + 1)\)-D variable-coefficient generalized NLW equation in liquid with gas bubbles ⋮ \(N\)-lump solutions to a \((3+1)\)-dimensional variable-coefficient generalized nonlinear wave equation in a liquid with gas bubbles
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bilinear equations and new multi-soliton solution for the modified Camassa-Holm equation
- A bilinear Bäcklund transformation of a \((3+1)\)-dimensional generalized KP equation
- New exact periodic solitary-wave solution of mKdV equation
- Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions
- General \(N\)-solitons and their dynamics in several nonlocal nonlinear Schrödinger equations
- Applications of HTA and EHTA to YTSF equation
- A Riemann-Hilbert approach for a new type coupled nonlinear Schrödinger equations
- Application of the Riemann-Hilbert approach to the multicomponent AKNS integrable hierarchies
- Magneto-optical/ferromagnetic-material computation: Bäcklund transformations, bilinear forms and \(N\) solitons for a generalized \((3+1)\)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system
- Inverse scattering transform and soliton classification of the coupled modified Korteweg-de Vries equation
- Construction of abundant solutions of the \((2+1)\)-dimensional time-dependent Date-Jimbo-Kashiwara-Miwa equation
- Inverse scattering for nonlocal reverse-time nonlinear Schrödinger equations
- Inverse scattering and soliton solutions of nonlocal complex reverse-spacetime mKdV equations
- Darboux transformations and global solutions for a nonlocal derivative nonlinear Schrödinger equation
- Darboux transformation and dark soliton solution for the defocusing Sasa-Satsuma equation
- Riemann-Hilbert approach and \(N\)-soliton solutions for a generalized Sasa-Satsuma equation
- Algebro-geometric solutions of the coupled modified Korteweg-de Vries hierarchy
- Darboux transformations in integrable systems. Theory and their applications to geometry
- The algebro-geometric solutions for the Fokas-Olver-Rosenau-Qiao (FORQ) hierarchy
- High-Order Solutions and Generalized Darboux Transformations of Derivative Nonlinear Schrödinger Equations
- On the evolution of packets of water waves
- Nonlinear Waves in Integrable and Nonintegrable Systems
- Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
- Integrable properties of the general coupled nonlinear Schrödinger equations
- Bilinear form, soliton, breather, lump and hybrid solutions for a \((2+1)\)-dimensional Sawada-Kotera equation
