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Quasi-exact solutions of the dissipative Kuramoto-Sivashinsky equation (Q2453321)

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English	Quasi-exact solutions of the dissipative Kuramoto-Sivashinsky equation	scientific article

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scholarly article

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Quasi-exact solutions of the dissipative Kuramoto-Sivashinsky equation (English)

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Nikolay A. Kudryashov

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Applied Mathematics and Computation

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publication date

6 June 2014

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zbMATH Keywords

Kuramoto-Sivasinsky equation

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exact solution

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quasi-exact solution

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describes a project that uses

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PDESpecialSolutions

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.amc.2013.03.062

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Quasi-exact solutions of nonlinear differential equations

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Solitary waves in a layer of viscous liquid

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Elementary particles as solutions of the Sivashinsky equation

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Exact solutions of the nonlinear wave equations arising in mechanics

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Solitary waves in active-dissipative dispersive media

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Simplest equation method to look for exact solutions of nonlinear differential equations

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Solitary and Periodic Solutions of Nonlinear Nonintegrable Equations

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New exact solutions to the KdV-Burgers-Kuramoto equation

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New exact solutions of the KdV-Burgers-Kuramoto equation

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Traveling wave solutions for nonlinear differential equations: a unified ansätze approach

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Travelling wave solutions to the Kuramoto-Sivashinsky equation

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Solitary and periodic solutions of the generalized Kuramoto-Sivashinsky equation

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One method for finding exact solutions of nonlinear differential equations

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Nonlinear differential equations of the second, third and fourth order with exact solutions

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Application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations

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Modified Kudryashov method for finding exact solitary wave solutions of higher-order nonlinear equations

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Painlevé differential equations in the complex plane

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Meromorphic solutions of nonlinear ordinary differential equations

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Solitary wave solutions of nonlinear wave equations

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The tanh method: I. Exact solutions of nonlinear evolution and wave equations

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An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations

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The tanh method: II. Perturbation technique for conservative systems

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Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs

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On the application of the Exp-function method to the KP equation for \(N\)-soliton solutions

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A note on the \(G'/G\)-expansion method

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A note on the (\(G^{\prime }/G\))-expansion method again

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Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity

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Modified method of simplest equation: powerful tool for obtaining exact and approximate traveling-wave solutions of nonlinear PDEs

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On modified method of simplest equation for obtaining exact and approximate solutions of nonlinear PDEs: The role of the simplest equation

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Modified simple equation method for nonlinear evolution equations

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The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics

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Identifiers

zbMATH Open document ID

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10.1016/j.amc.2013.03.062

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

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