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The second elliptic equation method for nonlinear equations with variable coefficients

The second elliptic equation method is a more general form of Jacobi elliptic function expansion method, which can obtain more kinds of solutions of a nonlinear evolution equation. In this paper, the method is used to solve the Kdv-Burgers-Kuramoto (Benny) equation with variable coefficients, and its extremely rich solution properties are elucidated, among which the biperiodic solutions, solitary wave solutions and trigonometric periodic solutions are analyzed graphically.
PAPER REVISED: 2020-06-18
PAPER ACCEPTED: 2020-06-18
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