Abstract

In the present article, we construct the exact traveling wave solutions of some nonlinear PDEs in the mathematical physics via (1 + 1) dimensional Kaup Kupershmit equation, the (1 + 1) dimensional seventh order KdV equation and (1 + 1) dimensional Kersten-Krasil Shchik equations by using the modified truncated expansion method. New exact solutions of these equations are found.

Highlights

  • Nonlinear partial differential equations are known to describe a wide variety of phenomena in physics -where applications extend over magneto fluid dynamics, water surface gravity waves, electromagnetic radiation reactions, and ion acoustic waves in plasma, just to name a few- and in biology, chemistry and several other fields

  • We use a modification of the truncated expansion method introduced in [9,10] to find the exact solutions of the following nonlinear partial differential equations in mathematical physics

  • In summary, we may conclude that this method is reliable and straightforward solution method to find the traveling waves of nonlinear partial differential equations

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Summary

Introduction

Nonlinear partial differential equations are known to describe a wide variety of phenomena in physics -where applications extend over magneto fluid dynamics, water surface gravity waves, electromagnetic radiation reactions, and ion acoustic waves in plasma, just to name a few- and in biology, chemistry and several other fields. It is one of the important tasks in the study of nonlinear partial differential equations to seek exact and explicit solutions. As a result we have essential simplification of solutions construction procedure

The Modification of the Truncated Expansion Method
Conclusions

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