Analytic method for solitary solutions of some partial differential equations

DOI10.1016/j.physleta.2007.05.057zbMath1209.81110OpenAlexW2036943911MaRDI QIDQ715973

Doǧan Kaya, Yavuz Ugurlu

Publication date: 19 April 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.05.057

zbMATH Keywords

KdV equationsoliton solutionJaulent-Miodek equationClannish random Walker's parabolic equationimproved tanh function methodSTO equation with its fission and fusion

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Soliton equations (35Q51) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (12)

Integral complex modified Korteweg-de Vries (Icm-KdV) equations ⋮ Hidden symmetries and exact solutions of integro-differential Jaulent-Miodek evolution equation ⋮ Exact solutions to the Sharma-Tasso-Olver equation by using improved \(G'/G\)-expansion method ⋮ Solutions of the Cahn-Hilliard equation ⋮ Algebro-geometric solutions for the complex Sharma-Tasso-Olver hierarchy ⋮ Explicit exact solutions to some one-dimensional conformable time fractional equations ⋮ Exact and numerical solutions of generalized Drinfeld-Sokolov equations ⋮ A new auxiliary equation method and its application to the Sharma-Tasso-Olver model ⋮ Unnamed Item ⋮ Bäcklund transformations and abundant exact explicit solutions of the Sharma-Tasso-Olver equation ⋮ Bäcklund transformation and new exact solutions of the Sharma-Tasso-Olver equation ⋮ New exact solutions of a perturbed nonlinear Schrödingers in nonlinear optics

Uses Software

• MACSYMA

Cites Work

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