Results 1 to 10 of about 125 (34)
Stability of solitary-wave solutions of coupled NLS equations with power-type nonlinearities
Advances in Nonlinear Analysis, 2015 This paper proves existence and stability of solitary-wave solutions of a system of 2-coupled nonlinear Schrödinger equations with power-type nonlinearities arising in several models of modern physics. The existence of vector solitary-wave solutions (i.e.
Bhattarai Santosh
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Note on modulational instability of Boussinesq wavetrains [PDF]
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 2, Page 397-398, 1992., 1992 It is demonstrated that modulational instability may occur in Boussinesq wavetrains for wavenumbers k2>1, in contrast to the result found by Shivamoggi and Debnath. Both Whitham's averaged Lagrangian formulation and the technique of Benjamin and Feir are
S. Roy Choudhury
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Alexandria Engineering Journal, 2022 The space–time fractional coupled modified equal-width equation and the coupled Boussinesq equation are a category of fractional partial differential equations, which might be crucial mathematical feathers in nonlinear optics, solid-state physics ...
M. Ayesha Khatun +4 more
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Efficient computation of capillary-gravity generalized solitary waves [PDF]
, 2016 This paper is devoted to the computation of capillary-gravity solitary waves of the irrotational incompressible Euler equations with free surface. The numerical study is a continuation of a previous work in several points: an alternative formulation of ...
Clamond, Didier +2 more
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Analytical behavior of weakly dispersive surface and internal waves in the ocean
Journal of Ocean Engineering and Science, 2022 The (2+1)-dimensional interaction of a Riemann wave propagating along the y-axis with a long wave along the x-axis is described by the space-time fractional Calogero-Degasperis (CD) and fractional potential Kadomstev-Petviashvili (PKP) equation.
Mohammad Asif Arefin +3 more
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Journal of Ocean Engineering and Science, 2022 This work aims to construct exact solutions for the space-time fractional (2 + 1)- dimensional dispersive longwave (DLW) equation and approximate long water wave equation (ALW) utilizing the two-variable (G′/G,1/G)-expansion method and the modified ...
Mohammad Asif Arefin +3 more
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Partial Differential Equations in Applied Mathematics, 2023 In a range of nonlinear fields, for example molecular biology, physics in plasma, quantum mechanics, elastic media, nonlinear optics, the surface of water waves, and others, many complicated nonlinear behaviors can be pronounced using nonlinear ...
U.H.M. Zaman +3 more
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Instability and stability properties of traveling waves for the double dispersion equation [PDF]
, 2002 In this article we are concerned with the instability and stability properties of traveling wave solutions of the double dispersion equation $~u_{tt} -u_{xx}+a u_{xxxx}-bu_{xxtt} = - (|u|^{p-1}u)_{xx}~$ for $~p>1$, $~a\geq b>0$.
H.A. Erbay +21 more
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Exit problems related to the persistence of solitons for the Korteweg-de Vries equation with small noise [PDF]
, 2008 We consider two exit problems for the Korteweg-de Vries equation perturbed by an additive white in time and colored in space noise of amplitude a. The initial datum gives rise to a soliton when a=0.
De Bouard, Anne, Gautier, Eric
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Mechanical analogy for the wave‐particle: helix on a vortex filament
Journal of Applied Mathematics, Volume 2, Issue 5, Page 241-263, 2002., 2002 The small amplitude‐to‐thread ratio helical configuration of a vortex filament in the ideal fluid behaves exactly as de Broglie wave. The complex‐valued algebra of quantum mechanics finds a simple mechanical interpretation in terms of differential geometry of the space curve.
Valery P. Dmitriyev
wiley +1 more source