Inelastic interactions of the multiple-front waves for the modified Kadomtsev-Petviashvili equation in fluid dynamics, plasma physics and electrodynamics
From MaRDI portal
Publication:661757
DOI10.1016/j.wavemoti.2009.06.014zbMath1231.37045OpenAlexW2035604759MaRDI QIDQ661757
Xiang-Hua Meng, Zhi-Yuan Sun, Ying Liu, Xin Yu, Yi-Tian Gao
Publication date: 11 February 2012
Published in: Wave Motion (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.wavemoti.2009.06.014
symbolic computationCole-Hopf transformationperturbation expansion methodinelastic interaction\(N\)-front wavemodified Kadomtsev-Petviashvili equation
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Traveling wave solutions (35C07)
Related Items (25)
Bifurcation analysis and solitary-like wave solutions for extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations ⋮ Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system ⋮ Resonance soliton, breather and interaction solutions of the modified Kadomtsev-Petviashvili-II equation ⋮ Soliton solutions and Bäcklund transformation for the complex Ginzburg-Landau equation ⋮ Transverse spectral instabilities in Konopelchenko–Dubrovsky equation ⋮ Multi-front waves for extended form of modified Kadomtsev-Petviashvili equation ⋮ Analytic study on bound solitons and soliton collisions for the coupled nonlinear Schrödinger equations ⋮ Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics ⋮ \(H\)-breather solutions, inelastic interactions of the lumps and resonant interactions of the breathers for a \((2+1)\)-dimensional nonlinear evolution equation ⋮ Bäcklund transformation, superposition formulae and \(N\)-soliton solutions for the perturbed Korteweg-de Vries equation ⋮ Multi-soliton solutions of the forced variable-coefficient extended Korteweg-de Vries equation arisen in fluid dynamics of internal solitary waves ⋮ Soliton dynamics and interaction in the Bose-Einstein condensates with harmonic trapping potential and time-varying interatomic interaction ⋮ Wronskian solutions and integrability for a generalized variable-coefficient forced Korteweg-de Vries equation in fluids ⋮ Generalized (2 + 1)-dimensional Gardner model: bilinear equations, Bäcklund transformation, Lax representation and interaction mechanisms ⋮ Soliton interactions in a generalized inhomogeneous coupled Hirota-Maxwell-Bloch system ⋮ Lax pair, Bäcklund transformation and multi-soliton solutions for the Boussinesq-Burgers equations from shallow water waves ⋮ Bäcklund transformations, rational solutions and soliton-cnoidal wave solutions of the modified Kadomtsev-Petviashvili equation ⋮ ANALYTIC ANALYSIS ON A GENERALIZED (2+1)-DIMENSIONAL VARIABLE-COEFFICIENT KORTEWEG–DE VRIES EQUATION USING SYMBOLIC COMPUTATION ⋮ Periodic, breather and rogue wave solutions for a generalized \((3+1)\)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics ⋮ Darboux transformation and nonautonomous solitons for a modified Kadomtsev-Petviashvili equation with variable coefficients ⋮ Soliton interaction in the modified Kadomtsev–Petviashvili-(II) equation ⋮ Bäcklund transformations for nonlinear differential equations and systems ⋮ Compression of bright bound solitons in the Bose-Einstein condensates with exponentially time-dependent atomic scattering length by the Feshbach resonance ⋮ Investigation on a nonisospectral fifth-order Korteweg-de Vries equation generalized from fluids ⋮ Magnetooptic studies on a ferromagnetic material via an extended \((3+1)\)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system
Cites Work
- Unnamed Item
- Unnamed Item
- Symbolic computation on cylindrical-modified dust-ion-acoustic nebulons in dusty plasmas
- Symbolic computation on generalized Hopf-Cole transformation for a forced Burgers model with variable coefficients from fluid dynamics
- General \(N\)th-order differential spectral problem: general structure of the integrable equations, nonuniqueness of recursion operator and gauge invariance
- Degenerate four-virtual-soliton resonance for the KP-II
- Elastic and inelastic line-soliton solutions of the Kadomtsev-Petviashvili II equation
- Multiple-front solutions for the Burgers-Kadomtsev-Petviashvili equation
- Symmetries and exact solutions of the Sharma-Tass-Olver equation
- Transformations for a generalized variable-coefficient Korteweg-de Vries model from blood vessels, Bose-Einstein condensates, rods and positons with symbolic computation
- On an analytical method and soliton-typed solutions for certain variable-coefficient partial differential equations in nonlinear mechanics
- Nonsharp travelling wave fronts in the Fisher equation with degenerate nonlinear diffusion
- Evolution of solitary waves in multicomponent plasmas
- An \(N\) soliton resonance solution for the KP equation: interaction with change of form and velocity
- Modified Kadomtsev-Petviashvili (MKP) equation and electromagnetic soliton
- Symbolic computation and new families of exact soliton-like solutions of Konopelchenko-Dubrov\-sky equations
- Soliton fission and fusion: Burgers equation and Sharma-Tasso-Olver equation
- Single and multiple-soliton solutions for the \((2+1)\)-dimensional KdV equation
- Multiple-front solutions for the Burgers equation and the coupled Burgers equations
- Exact solutions of generalized Burgers equation, describing travelling fronts and their interaction
- Freedom in the expansion and obstacles to integrability in multiple-soliton solutions of the perturbed KdV equation
- Wave interactions and the analysis of the perturbed Burgers' equation
- Two types of generalized integrable decompositions and new solitary-wave solutions for the modified Kadomtsev-Petviashvili equation with symbolic computation
- Inverse Spectral Transform for the Modified Kadomtsev-Petviashvili Equation
- Coalescence of electromagnetic travelling waves in a saturated ferrite
- On a family of solutions of the Kadomtsev–Petviashvili equation which also satisfy the Toda lattice hierarchy
- `Solitoff' Solutions of Nonlinear Evolution Equations
- Young diagrams and N-soliton solutions of the KP equation
- N-soliton solutions to the DKP equation and Weyl group actions
- The partial differential equation ut + uux = μxx
- Wave group dynamics in weakly nonlinear long-wave models
This page was built for publication: Inelastic interactions of the multiple-front waves for the modified Kadomtsev-Petviashvili equation in fluid dynamics, plasma physics and electrodynamics
