THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Xiaoxia Zhang

,

Yanni Zhang

,

Jing Pang

THE SECOND ELLIPTIC EQUATION METHOD FOR NON-LINEAR 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
Benny equation with variable coefficient, the second elliptic equation method, double periodic solution
PAPER SUBMITTED: 2020-04-10
PAPER REVISED: 2020-06-18
PAPER ACCEPTED: 2020-06-18
PUBLISHED ONLINE: 2021-01-31
DOI REFERENCE: https://doi.org/10.2298/TSCI200410038Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 2, PAGES [1387 - 1396]
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The second elliptic equation method for non-linear equations with variable coefficients

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