In this paper, the Fujimoto-Watanabe equation is studied with the help of the classical Lie point symmetry analysis method. Infinitesimal generators, the entire geometric vector fields and symmetry groups of the Fujimoto-Watanabe equation are given.
Liu, Yu +3 more
core
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
doaj +1 more source
Stability and Instability of Solitary Wave Solutions of a Nonlinear Dispersive System of Benjamin-Bona-Mahony Type [PDF]
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
Peaked solitary waves and shock waves of the Degasperis-Procesi-Kadomtsev-Petviashvili equation
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
doaj +1 more source
© Hindawi Publishing Corp. A NOTE ON ASYMPTOTIC HELIX AND QUANTUM MECHANICAL STRUCTURE
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
core
A numerical investigation of the GRLW equation using lumped Galerkin approach with cubic B-spline. [PDF]
Zeybek H, Karakoç SB.
europepmc +1 more source
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