Travelling wave solutions to Zufiria’s higher-order Boussinesq type equations

نویسندگان

  • Liang Gao
  • Wen-Xiu Ma
  • Wei Xu
چکیده

Zufiria’s higher-order Boussinesq type equations are studied by transforming them into solvable ordinary differential equations. Various families of their travelling wave solutions are generated, which include periodic wave, solitary wave, periodic-like wave, solitonlike wave, Jacobi elliptic function periodic wave, combined non-degenerative Jacobi elliptic function-like wave, Weierstrass elliptic function periodic and rational solutions. The presented approach can be also applied to nonlinear wave equations with variable coefficients in mathematical physics and mechanics. © 2008 Elsevier Ltd. All rights reserved.

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تاریخ انتشار 2009