Application of \(G^\prime/G\)-expansion method to Kuramoto-Sivashinsky equation

DOI10.1007/s10255-016-0589-2zbMath1361.35152OpenAlexW2510372670MaRDI QIDQ517197

Anjan Biswas, Ghodrat Ebadi

Publication date: 23 March 2017

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-016-0589-2

zbMATH Keywords

integrabilitysolitonsevolution equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (4)

Solving the Lane-Emden equation within a reproducing kernel method and group preserving scheme ⋮ KINK-BRIGHT SOLITARY WAVE SOLUTIONS OF THE GENERALIZED KURAMOTO-SIVASHINSKY EQUATION ⋮ Weakly nonlinear waves propagating in hyperelastic cylindrical rod tranquility of compressible Murnaghan material ⋮ Solutions of nonlinear systems by reproducing kernel method

Cites Work

• Meshless method of lines for the numerical solution of generalized Kuramoto-Sivashinsky equation
• Zero dynamics boundary control for regulation of the Kuramoto-Sivashinsky equation
• Solitary and periodic solutions of the generalized Kuramoto-Sivashinsky equation
• A modified tanh-coth method for solving the general Burgers-Fisher and the Kuramoto-Sivashinsky equations
• Quintic B-spline collocation method for numerical solution of the Kuramoto-Sivashinsky equation
• Optimal bounds on the Kuramoto-Sivashinsky equation
• Trivial stationary solutions to the Kuramoto-Sivashinsky and certain nonlinear elliptic equations
• New solitary wave solutions to the Kuramoto-Sivashinsky and the Kawahara equations
• Maximum principle for optimal boundary control of the Kuramoto-Sivashinsky equation
• Variational iteration method -- some recent results and new interpretations
• The variational iteration method for rational solutions for KdV, \(K(2,2)\), Burgers, and cubic Boussinesq equations
• Second-order splitting combined with orthogonal cubic spline collocation method for the Kuramoto-Sivashinsky equation
• An analytic study of compacton solutions for variants of Kuramoto-Sivashinsky equation.

This page was built for publication: Application of \(G^\prime/G\)-expansion method to Kuramoto-Sivashinsky equation