## THERMAL SCIENCE

International Scientific Journal

### Thermal Science - Online First

online first only
### The second elliptic equation method for nonlinear equations with variable coefficients

**ABSTRACT**

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.

**KEYWORDS**

PAPER SUBMITTED: 2020-04-10

PAPER REVISED: 2020-06-18

PAPER ACCEPTED: 2020-06-18

PUBLISHED ONLINE: 2021-01-31

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