Wave propagation of resonance multi-stripes, complexitons, and lump and its variety interaction solutions to the (2+1)-dimensional pKP equation
From MaRDI portal
Publication:2025476
DOI10.1016/j.cnsns.2021.105853zbMath1468.35036OpenAlexW3154146254MaRDI QIDQ2025476
Jui Saha, Chun-Ku Kuo, Gour Chandra Paul, Israt Jahan, Dipankar Kumar
Publication date: 14 May 2021
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105853
Hirota's bilinear methodpotential Kadomtsev-Petviashvili (pKP) equationsimplified linear superposition principlesymbolic computations with Maple
Symbolic computation and algebraic computation (68W30) Initial value problems for nonlinear higher-order PDEs (35G25) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10) Soliton solutions (35C08)
Related Items (6)
Hybrid solutions for the (2+1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics ⋮ A study on the resonant multi-soliton waves and the soliton molecule of the (3+1)-dimensional Kudryashov-Sinelshchikov equation ⋮ Degenerate lump interactions within the Kadomtsev-Petviashvili equation ⋮ Structures of interaction between lump, breather, rogue and periodic wave solutions for new \((3 + 1)\)-dimensional negative order KdV-CBS model ⋮ The integrability of a \((2+1)\)-dimensional nonlinear wave equation: Painlevé property, multi-order breathers, multi-order lumps and hybrid solutions ⋮ Soliton molecules, multi-breathers and hybrid solutions in (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani equation
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Linear superposition principle applying to Hirota bilinear equations
- Wronskian and Grammian solutions to a \((3 + 1)\)-dimensional generalized KP equation
- A new mapping method and its applications to nonlinear partial differential equations
- Exact periodic kink-wave and degenerative soliton solutions for potential Kadomtsev-Petviashvili equation
- Resonant multi-soliton solutions to new \((3+1)\)-dimensional Jimbo-Miwa equations by applying the linear superposition principle
- Lump, lumpoff and predictable rogue wave solutions to the (2+1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation
- Analysis on lump, lumpoff and rogue waves with predictability to the \((2 + 1)\)-dimensional B-type Kadomtsev-Petviashvili equation
- Long-time asymptotics of the focusing Kundu-Eckhaus equation with nonzero boundary conditions
- Dynamics and interaction scenarios of localized wave structures in the Kadomtsev-Petviashvili-based system
- Pfaffian solutions and extended Pfaffian solutions to \((3+1)\)-dimensional Jimbo-Miwa equation
- Some group-invariant solutions of potential Kadomtsev-Petviashvili equation by using Lie symmetry approach
- Consistent Riccati expansion and rational solutions of the Drinfel'd-Sokolov-Wilson equation
- Kink solutions for three new fifth order nonlinear equations
- Lump and interaction solutions to the \((2+1)\)-dimensional Burgers equation
- Multiple-order line rogue wave solutions of extended Kadomtsev-Petviashvili equation
- Resonant soliton and complexiton solutions for \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation
- The study of lump solution and interaction phenomenon to (2+1)-dimensional potential Kadomstev-Petviashvili equation
- Lump-type solutions and interaction phenomenon to the (2+1)-dimensional breaking soliton equation
- Fusion and fission phenomena for \(( 2 + 1 )\)-dimensional fifth-order KdV system
- Exotic localized vector waves in a two-component nonlinear wave system
- Interaction of multi-lumps within the Kadomtsev-Petviashvili equation
- Novel interaction phenomena of localized waves in the generalized (3+1)-dimensional KP equation
- Special types of solitons and breather molecules for a (2+1)-dimensional fifth-order KdV equation
- Some exact solutions to the potential Kadomtsev-Petviashvili equation and to a system of shallow water wave equations
- Painlevé analysis and invariant solutions of generalized fifth-order nonlinear integrable equation
- A study on resonant multi-soliton solutions to the (2+1)-dimensional Hirota-Satsuma-Ito equations via the linear superposition principle
- Multiple soliton solutions of the nonlinear partial differential equations describing the wave propagation in nonlinear low-pass electrical transmission lines
- A new nonlinear equation with lump-soliton, lump-periodic, and lump-periodic-soliton solutions
- Complexiton and resonant multiple wave solutions to the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation
- Interaction of two lump solitons described by the Kadomtsev-Petviashvili equation
- Applications of linear superposition principle to resonant solitons and complexitons
- Resonant multiple wave solutions for a \((3+1)\)-dimensional nonlinear evolution equation by linear superposition principle
- Painlevé analysis, Lie symmetries and invariant solutions of potential Kadomstev-Petviashvili equation with time dependent coefficients
- Bilinear approach to soliton and periodic wave solutions of two nonlinear evolution equations of mathematical physics
- Nonlocal Symmetries and Interaction Solutions for Potential Kadomtsev–Petviashvili Equation
This page was built for publication: Wave propagation of resonance multi-stripes, complexitons, and lump and its variety interaction solutions to the (2+1)-dimensional pKP equation
