In this paper, we investigate the periodic wave solutions and solitary wave
solutions of a (2+1)-dimensional Korteweg-de Vries (KDV) equationby applying
Jacobi elliptic function expansion method. Abundant types of Jacobi elliptic function
solutions are obtained by choosing different coefficientsp, q and r in theelliptic
equation. Then these solutions arecoupled into an auxiliary equationand
substituted into the (2+1)-dimensional KDV equation. As a result,a large
number of complex Jacobi elliptic function solutions are obtained,
and many of them have not been found in other documents. As, some complex solitary solutions are also obtained correspondingly.These solutions that we
obtained in this paper will be helpful to understand the physics of the (2+1)-dimensional
KDV equation.
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