TY - JOUR TI - The second elliptic equation method for non-linear equations with variable coefficients AU - Zhang Xiaoxia AU - Zhang Yanni AU - Pang Jing JN - Thermal Science PY - 2021 VL - 25 IS - 2 SP - 1387 EP - 1396 PT - Article AB - 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.