Traveling Wave Solutions for Fifth Order (1+1)-Dimensional Kaup-Keperschmidt Equation with the Help of Exp(-Phi)-Expansion Method


  • Harun Or ROSHID Department of Mathematics, Pabna University of Science & Technology
  • Md. Nur ALAM Department of Mathematics, Pabna University of Science & Technology
  • M. Ali AKBAR Department of Applied Mathematics, University of Rajshahi


The exp(-Phi)-expansion method, the fifth order (1 1)-dimensional Kaup-Keperschmidt equation, traveling wave solutions, nonlinear evolution equation


By using exp(-Phi)-expansion method, abundant exact traveling wave solutions for the fifth order (1+1)-dimensional Kaup-Keperschmidt equation have been obtained in a uniform way. The obtained solutions in this work are imperative and significant for the explanation of some practical physical phenomena. It is shown that the exp(-Phi)-expansion method together with the first order ordinary differential equation, provides a progress mathematical tool for solving nonlinear partial differential equations. Numerical results, together with graphical representation, explicitly reveal the complete reliability and high efficiency of the proposed algorithm.



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How to Cite

ROSHID, H. O., ALAM, M. N., & AKBAR, M. A. (2015). Traveling Wave Solutions for Fifth Order (1+1)-Dimensional Kaup-Keperschmidt Equation with the Help of Exp(-Phi)-Expansion Method. Walailak Journal of Science and Technology (WJST), 12(11), 1063-1073. Retrieved from