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In this paper, the KP-type equation is considered. some new theta function periodic solutions for this equation are successfully obtained with the aid of symbolic computation for the first time. It is shown that the method we used is a very effective and powerful mathematical tool for solving nonlinear evolution equations in mathematics and physics.
In this paper, theta functions and the auxiliary equation method is used to seek exact solutions for the the mKdV-ZK equation. As a result, some theta function solutions are successfully obtained with the aid of symbolic computation for the first time. It is shown that the auxiliary equation method is a very effective and powerful mathematical tool for solving nonlinear evolution equations in mathematics...
In this paper,the auxiliary equation method is implemented to get the exact solutions of the (3+1)-dimensional potential-YTSF equation. And some soliton-likes solutions are successfully obtained with the aid of symbolic computation.
In this paper, the auxiliary equation method is used to seek exact solutions of a (2+1)-dimensional nonlinear soliton equation(GMKPI). As a result, some traveling wave solutions are successfully obtained with the aid of symbolic computation. It is shown that the auxiliary equation method is a very effective and powerful mathematical tool for solving nonlinear evolution equations in mathematics and...
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