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
Summary
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
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