## THERMAL SCIENCE

International Scientific Journal

### APPLICATION OF MATHEMATICAL METHODS FOR THE NON-LINEAR SEVENTH ORDER SAWADA-KOTERA-ITO DYNAMICAL WAVE EQUATION

**ABSTRACT**

This article deal with finding travelling wave solutions for the seventh order Sawada-Kotera Ito dynamical wave equation which describes the evolution of steeper waves of shorter wavelength than KdV equations using modified extended direct algebraic method. The new solutions derived have various physical structure, we also give graphic representation of the exact and stable solutions.

**KEYWORDS**

PAPER SUBMITTED: 2019-07-05

PAPER REVISED: 2019-08-10

PAPER ACCEPTED: 2019-08-20

PUBLISHED ONLINE: 2019-10-06

**THERMAL SCIENCE** YEAR

**2019**, VOLUME

**23**, ISSUE

**Supplement 6**, PAGES [S2081 - S2093]

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