Exact Solutions of Non-Linear Lattice Equations by an Improved Exp-Function Method
نویسندگان
چکیده
In this paper, the exp-function method is improved to construct exact solutions of non-linear lattice equations by modifying its exponential function ansätz. The improved method has two advantages. One is that it can solve non-linear lattice equations with variable coefficients, and the other is that it is not necessary to balance the highest order derivative with the highest order nonlinear term in the procedure of determining the exponential function ansätz. To show the advantages of this improved method, a variable-coefficient mKdV lattice equation is considered. As a result, new exact solutions, which include kink-type solutions and bell-kink-type solutions, are obtained.
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عنوان ژورنال:
- Entropy
دوره 17 شماره
صفحات -
تاریخ انتشار 2015