Exact and explicit solutions to nonlinear evolution equations using the division theorem

DOI10.1016/j.amc.2011.02.098zbMath1219.35032OpenAlexW2019977379MaRDI QIDQ548386

İsmail Aslan

Publication date: 28 June 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11147/5061

zbMATH Keywords

first integral methodpolynomial first integralsGilson-Pickering equationregularized long-wave Burgers equation

Mathematics Subject Classification ID

Solutions to PDEs in closed form (35C05) Traveling wave solutions (35C07)

Related Items (10)

Convergence analysis of the higher-order global mass-preserving numerical method for the symmetric regularized long-wave equation ⋮ The first integral method for constructing exact and explicit solutions to nonlinear evolution equations ⋮ Multiple soliton solutions with chiral nonlinear Schrödinger's equation in (2+1)-dimensions ⋮ Analytical study of solitons to nonlinear time fractional parabolic equations ⋮ New complex and hyperbolic forms for Ablowitz-Kaup-Newell-Segur wave equation with fourth order ⋮ New complex hyperbolic structures to the Lonngren-wave equation by using sine-Gordon expansion method ⋮ The first integral method to the nonlinear Schrödinger equations in higher dimensions ⋮ Division theorem combined with the Riccati equation for solving some nonlinear Schrödinger-like equations ⋮ Soliton solutions and chaotic motions for the \((2+1)\)-dimensional Zakharov equations in a laser-induced plasma ⋮ Complex soliton solutions to the Gilson-Pickering model

Cites Work

• Unnamed Item
• Unnamed Item
• The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
• The first integral method for modified Benjamin-Bona-Mahony equation
• Traveling wave solutions to a reaction-diffusion equation
• The first integral method for solving some important nonlinear partial differential equations
• Traveling waves to a Burgers-Korteweg-de Vries-type equation with higher-order nonlinearities
• New applications of developed Jacobi elliptic function expansion methods
• Exp-function method for nonlinear wave equations
• A systematic method to construct Hirota's transformations of continuous soliton equations and its applications
• Some special types of solutions of a class of the \((N+1)\)-dimensional nonlinear wave equations
• An improved algebra method and its applications in nonlinear wave equations
• Exact solutions for a compound KdV-Burgers equation
• A simple transformation for nonlinear waves.
• Elliptic equation's new solutions and their applications to two nonlinear partial differential equations
• Single and multi-solitary wave solutions to a class of nonlinear evolution equations
• The extended \(F\)-expansion method and its application for a class of nonlinear evolution equations
• Further improved F-expansion method and new exact solutions of Konopelchenko--Dubrovsky equation
• Travelling wave solutions for the generalized Burgers-Huxley equation
• The Painlevé property for partial differential equations
• An evaluation of a model equation for water waves
• The inverse scattering transform: Semi-infinite interval
• The first-integral method to study the Burgers–Korteweg–de Vries equation
• The tanh method: I. Exact solutions of nonlinear evolution and wave equations
• Explicit Exact Solitary Wave Solutions for the Kundu Equation and the Derivative Schrödinger Equation
• Factorization and Painleve analysis of a class of nonlinear third-order partial differential equations
• Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
• Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation
• On explicit exact solutions to the compound Burgers-KdV equation

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