## THERMAL SCIENCE

International Scientific Journal

### NEW TYPES OF EXACT SOLUTIONS OF HIGH-FREQUENCY WAVES MODEL IN THE RELAXATION MEDIUM

**ABSTRACT**

In this article, based on the extended fan-expansion method, novel soliton wave solutions of the Vakhnenko-Parkes equation are constructed. The stable property of the obtained analytical solutions is tested by implementing the Hamiltonian system's characterizations. The applied method is effective and applicable for many problems of non-linear PDE in mathematical physics.

**KEYWORDS**

PAPER SUBMITTED: 2021-03-12

PAPER REVISED: 2021-03-27

PAPER ACCEPTED: 2021-04-08

PUBLISHED ONLINE: 2021-12-18

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