1 research outputs found
New solitary wave and Multiple soliton solutions of (3 + 1)-dimensional KdV type equation by using Lie symmetry approach
Solitary waves are localized gravity waves that preserve their consistency
and henceforth their visibility through properties of nonlinear hydrodynamics.
Solitary waves have finite amplitude and spread with constant speed and
constant shape. In this paper, we have used Lie group of transformation method
to solve (3 + 1)-dimensional KdV type equation. We have obtained the
infinitesimal generators, commutator table of Lie algebra for the KdV type
equation. We have achieved a number of exact solutions of KdV type equation in
the explicit form through similarity reduction. All the reported results are
expressed in analytic (closed form) and figured out graphically through their
evolution solution profiles. We characterized the physical explanation of the
obtained solutions with the free choice of the particular parameters by
plotting some 3D and 2D illustrations. The geometrical analysis explains that
the nature of solutions is travelling wave, kink wave, single solitons, doubly
solitons and curve-shaped multisolitons.Comment: 22 pages, 19 figure