Results 11 to 20 of about 38 (36)

Lie point symmetry, conservation laws and exact power series solutions to the Fujimoto-Watanabe equation

open access: yes, 2021
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  

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

open access: yesResults 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
doaj   +1 more source

Stability and Instability of Solitary Wave Solutions of a Nonlinear Dispersive System of Benjamin-Bona-Mahony Type [PDF]

open access: yes, 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  

Peaked solitary waves and shock waves of the Degasperis-Procesi-Kadomtsev-Petviashvili equation

open access: yesAdvances 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
doaj   +1 more source

© Hindawi Publishing Corp. A NOTE ON ASYMPTOTIC HELIX AND QUANTUM MECHANICAL STRUCTURE

open access: yes, 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
core  
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Numerical Solutions of the Generalized Equal Width Wave Equation Using the Petrov–Galerkin Method

Applicable Analysis, 2021
Seydi Battal Gazi Karakoc   +1 more
exaly  

On the Stability of Periodic Traveling Waves for the Modified Kawahara Equation

Applicable Analysis, 2021
Fabio Natali   +2 more
exaly  

Analyticity and Decay Properties of the Solitary Waves to the Benney-Luke Equation

Differential and Integral Equations, 2001
Mihai Maris
exaly  

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