Abstract:
Most of the natural happenings can be present by nonlinear modeling. The soliton theory is a
highly effective section of nonlinear sciences that includes soliton, multi-soliton, rational,
breather line, breather kinky, lump and rogue wave solutions. Such solutions are essential to
realizing the internal properties of the nonlinear models. This dissertation presents exact
traveling wave solutions of the three nonlinear models such as the (2+1) Bogoyavlenskii’s
breaking soliton (BBS) equation, the (2+1)-dimensional Benjamin-Bona-Mahony-Burgers
(BBMB) equation and the (3+1)-dimensional Sharma–Tasso–Olver-like (STOL) equation by
applying Hirota bilinear method. By this method, we construct the bilinear form and find the
interaction solutions of the above three models. We determine the multi-soliton and their
interaction solutions of the BBS model and STOL model. Various properties of the obtained
solutions are illustrated clearly with a number of 3D plot, 2D plot, density plot, curve plot and
contour plot by choosing suitable parametric values via the computational software Maple 18.
Description:
This Thesis is Submitted to the Department of Mathematics, University of Rajshahi, Rajshahi, Bangladesh for The Degree of Master of Philosophy (MPhil)
