Bilinear approach to quasi-periodic wave solutions of the Kersten-Krasil'shchik coupled KdV-mKdV system
From MaRDI portal
Publication:737142
DOI10.1186/s13661-016-0634-3zbMath1383.35199OpenAlexW2473459615WikidataQ59466993 ScholiaQ59466993MaRDI QIDQ737142
Publication date: 8 August 2016
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-016-0634-3
Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Almost and pseudo-almost periodic solutions to PDEs (35B15) Soliton solutions (35C08)
Related Items (4)
Numerical computation of fractional Kersten-Krasil'shchik coupled KdV-mKdV system occurring in multi-component plasmas ⋮ Numerical solution of fractional Kersten-Krasil'shchik coupled KdV-mKdV system arising in shallow water waves ⋮ Explicit solutions to the \((3+1)\)-dimensional Kudryashov-Sinelshchikov equations in bubbly flow dynamics ⋮ Invariant analysis, optimal system, power series solutions and conservation laws of Kersten-Krasil'shchik coupled KdV-mKdV equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solving the \((3+1)\)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm
- On the periodic solutions for both nonlinear differential and difference equations: a unified approach
- Linear superposition principle applying to Hirota bilinear equations
- Solitary wave and doubly periodic wave solutions for the Kersten-Krasil'shchik coupled KdV-mKdV system
- Bilinear equations and resonant solutions characterized by Bell polynomials
- A Direct Method of Calculating Periodic Wave Solutions to Nonlinear Evolution Equations. I. Exact Two-Periodic Wave Solution
- A Direct Method of Calculating Periodic Wave Solutions to Nonlinear Evolution Equations. II. Exact One- and Two-Periodic Wave Solution of the Coupled Bilinear Equations
- A multiple exp-function method for nonlinear differential equations and its application
- EXACT ONE-PERIODIC AND TWO-PERIODIC WAVE SOLUTIONS TO HIROTA BILINEAR EQUATIONS IN (2+1) DIMENSIONS
- A KIND OF EXPLICIT QUASI-PERIODIC SOLUTION AND ITS LIMIT FOR THE TODA LATTICE EQUATION
- Quasi-periodic waves and an asymptotic property for the asymmetrical Nizhnik–Novikov–Veselov equation
- Integrability of Kersten–Krasil’shchik coupled KdV–mKdV equations: singularity analysis and Lax pair
- Bell Polynomial Approach and N -Soliton Solutions for a Coupled KdV-mKdV System
This page was built for publication: Bilinear approach to quasi-periodic wave solutions of the Kersten-Krasil'shchik coupled KdV-mKdV system