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Fig. 4.
The propogation of the wave along
y
-axis
4 Conclusions
In this paper, we have studied the KP-type equation. By using auxiliary equation
method, some traveling wave solutions in terms of theta functions are successfully
obtained with the aid of symbolic computation for the first time, they should be mean-
ingful to explain some physics phenomena. It is shown that the auxiliary equation
method is a very effective and powerful mathematical tool for solving nonlinear evolu-
tion equations in mathematics and physics. Moreover, with the aid of computer sym-
bolic systems (Mathematica or Maple), the method can be conveniently operated.
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