Travelling wave solutions to the Benney-Luke and the higher-order improved Boussinesq equations of Sobolev type

DOI10.1155/2012/890574zbMath1259.35053OpenAlexW1984744241WikidataQ58697023 ScholiaQ58697023MaRDI QIDQ1938320

Şamil Akçağıl, Ömer Faruk Gözükızıl

Publication date: 4 February 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/890574

zbMATH Keywords

tanh-coth method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Other special methods applied to PDEs (35A25) Traveling wave solutions (35C07)

Related Items (3)

The tanh-coth method for some nonlinear pseudoparabolic equations with exact solutions ⋮ Unnamed Item ⋮ A study of a generalized Benney-Luke equation with time-dependent coefficients

Cites Work

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• Modified extended tanh-function method and its applications to nonlinear equations
• Two-dimensional solitary waves for a Benney-Luke equation
• Instability of solitary waves for a generalized Benney-Luke equation
• Nonlinear variants of the BBM equation with compact and noncompact physical structures
• Cauchy problem for the generalized Benney-Luke equation
• A higher-order Boussinesq equation in locally non-linear theory of one-dimensional non-local elasticity
• On the Interactions of Permanent Waves of Finite Amplitude
• The Cauchy problem for an equation of Sobolev type with power non-linearity
• Unsteady waves in anisotropic dispersive media
• Kawahara dynamics in dispersive media

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