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Diverse soliton wave profile assessment to the fractional order nonlinear Landau-Ginzburg-Higgs and coupled Boussinesq-Burger equations

Results in Physics
The space–time fractional Landau-Ginzburg-Higgs equation and coupled Boussinesq-Burger equation describe the behavior of nonlinear waves in the tropical and mid-latitude troposphere, exhibiting weak scattering, extended connections, arising from the ...
Anamika Podder +4 more
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Peaked solitary waves and shock waves of the Degasperis-Procesi-Kadomtsev-Petviashvili equation

Advances in Nonlinear Analysis
In this study, we establish the existence and nonexistence of smooth and peaked solitary wave solutions (or periodic) to the Degasperis-Procesi-Kadomtsev-Petviashvili (DP-KP) equation with a weak transverse effect.
Moon Byungsoo, Yang Chao
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Stability and Instability of Solitary Wave Solutions of a Nonlinear Dispersive System of Benjamin-Bona-Mahony Type [PDF]

, 2003
2000 Mathematics Subject Classification: 35B35, 35B40, 35Q35, 76B25, 76E30.This paper concerns the orbital stability and instability of solitary waves of the system of coupling equations of Benjamin-Bona-Mahony type.
Hakkaev, Sevdzhan
core

Main topics of the NumHyp-2015' discussion session

, 2015
25 pages, 7 figures, 1 table, 83 references. Research report prepared after the invitation of NumHyp'2015 conference organizers. Other author's papers can be downloaded at http://www.denys-dutykh.com/Three main topics were raised in this discussion ...
Dutykh, Denys, Gosse, Laurent
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, 2003
Using the formulation of a moving curve, we demonstrate that an asymptotic helix goes over to the linear time-dependent Schrödinger equation as shown by Dmitriyev (2002).
Partha Guha
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A numerical investigation of the GRLW equation using lumped Galerkin approach with cubic B-spline. [PDF]