Click here to view fulltext PDF

Permanent link:
https://www.ias.ac.in/article/fulltext/pram/087/06/0093

Klein–Gordon–Zakharov equation with the positive fractional power terms; sub-ordinary differential equations method; exact solution; constraint condition.

In this paper, the famous Klein–Gordon–Zakharov (KGZ) equations are first generalized, and the new special types of KGZ equations with the positive fractional power terms (gKGZE) are presented. In order to derive exact solutions of the new special gKGZE, subsidiary higher-order ordinary differential equations (sub-ODEs) with the positive fractional power terms are introduced, and with the aid of the sub-ODE, exact solutions of four special types of the gKGZE are derived, which are the bell-type solitary wave solution, the algebraicsolitary wave solution, the kink-type solitary wave solution and the sinusoidal travelling wave solution, provided that the coefficients of gKGZE satisfy certain constraint conditions.

JINLIANG ZHANG¹ WUQIANG HU¹ YU MA¹

1. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China

Published

16 December 2016

Manuscript received

25 July 2015

Manuscript revised

5 February 2016

Accepted

7 March 2016

Early published

3 November 2016