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New explicit exact solutions to nonlinear evolution equations. (Chinese. English summary) Zbl 0931.35157

Summary: Some exact solutions which include the solitary wave solution to the \((2+1)\)-dimensional KP equation are obtained by using the trigonometric function method and the Wu-elimination method. Based on this, some new solutions for the KdV equation, Hirota-Satsuma equation and a coupled KdV equation are found.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35C05 Solutions to PDEs in closed form
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
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