Article ID Journal Published Year Pages File Type
4633232 Applied Mathematics and Computation 2009 6 Pages PDF
Abstract

In this paper, a series of abundant exact travelling wave solutions is established for a modified generalized Vakhnenko equation by using auxiliary equation method. These solutions can be expressed by Jacobi elliptic function. When Jacobi elliptic functions modulus m→1m→1 or 0, the travelling wave solutions degenerate to four types of solutions, namely, the soliton solutions, the hyperbolic function solutions, the trigonometric function solutions, constant solutions.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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