Travelling wave solutions to the generalized Pochhammer-Chree (PC) equations using the first integral method

DOI10.1155/2011/629760zbMath1235.65147OpenAlexW2030082973WikidataQ58693315 ScholiaQ58693315MaRDI QIDQ410486

Shoukry Ibrahim Atia El-Ganaini

Publication date: 3 April 2012

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/629760

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items

Solutions of some class of nonlinear PDEs in mathematical physics ⋮ New exact traveling wave solutions of the (4+1)-dimensional Fokas equation ⋮ New exact solutions of some nonlinear systems of partial differential equations using the first integral method ⋮ On exact solutions of the generalized Pochhammer-Chree equation ⋮ Solitons and other solutions for higher-order NLS equation and quantum ZK equation using the extended simplest equation method ⋮ On solving the (3+1)-dimensional NLEQZK equation and the (3+1)-dimensional NLmZK equation using the extended simplest equation method ⋮ The first integral method to the nonlinear Schrödinger equations in higher dimensions

Cites Work

• Unnamed Item
• Exact solution to an approximate sine-Gordon equation in \((n+1)\)-dimensional space
• The first integral method for modified Benjamin-Bona-Mahony equation
• New exact solutions to the Fitzhugh-Nagumo equation
• Traveling waves to a Burgers-Korteweg-de Vries-type equation with higher-order nonlinearities
• Traveling wave behavior for a generalized Fisher equation
• Bifurcations of traveling wave solutions in generalized Pochhammer-Chree equation
• Series solution to the Pochhammer-Chree equation and comparison with exact solutions
• Explicit solitary-wave solutions to generalized Pochhammer-Chree equations
• The first integral method to the two-dimensional Burgers-Korteweg-de Vries equation
• The tanh-coth and the sine-cosine methods for kinks, solitons, and periodic solutions for the Pochhammer-Chree equations
• Travelling wave solutions for the generalized Burgers-Huxley equation
• Solitary wave solutions and kink wave solutions for a generalized PC equation
• Solitary-Wave Interactions in Elastic Rods
• On exact solutions of the regularized long-wave equation: A direct approach to partially integrable equations. I. Solitary wave and solitons
• On explicit exact solutions for the Lienard equation and its applications
• On explicit exact solutions to the compound Burgers-KdV equation