Generalization of exp-function and other standard function methods

DOI10.1016/j.amc.2010.03.083zbMath1195.65094OpenAlexW1982081948MaRDI QIDQ983989

Minvydas Ragulskis, Zenonas Navickas, Liepa Bikulciene

Publication date: 13 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.083

zbMATH Keywords

numerical examplesnonlinear differential equationsexp-function methodH-rankmultiplicative operatorstandard functions

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

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Cites Work

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• Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method
• Exp-function method for nonlinear wave equations
• Solitary wave solutions of the generalized shallow water wave (GSWW) equation by Hirota's method, tanh-coth method and exp-function method
• Multi soliton solution for the system of coupled Korteweg-de Vries equations
• Application of Exp-function method for 2D cubic-quintic Ginzburg-Landau equation
• Exact travelling wave solutions for the generalized nonlinear Schrödinger (GNLS) equation with a source by extended tanh-coth, sine-cosine and exp-function methods
• Application of exp-function method to Dullin-Gottwald-Holm equation
• How far one can go with the exp-function method?
• Operator method of solving nonlinear differential equations
• Exp-function method for solving the generalized-Zakharov equations
• Extended simplest equation method for nonlinear differential equations
• Solving the fifth order Caudrey-Dodd-Gibbon (CDG) equation using the exp-function method
• Exact travelling solutions for the Lax's seventh-order KdV equation by sech method and rational exp-function method
• The Cole-Hopf transformation and improved tanh-coth method applied to new integrable system (KdV6)
• AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING

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