Results 1 to 10 of about 88 (42)
Boundary Value Problems, 2013 In this work, a numerical solution of the modified regularized long wave (MRLW) equation is obtained by the method based on collocation of quintic B-splines over the finite elements.
S. B. G. Karakoç +2 more
semanticscholar +2 more sources
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
doaj +1 more source
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
Three‐dimensional Korteweg‐de Vries equation and traveling wave solutions
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 6, Page 379-384, 2000., 2000 The three‐dimensional power Korteweg‐de Vries equation [ut+unux+uxxx] x+uyy+uzz=0, is considered. Solitary wave solutions for any positive integer n and cnoidal wave solutions for n = 1 and n = 2 are obtained. The cnoidal wave solutions are shown to be represented as infinite sums of solitons by using Fourier series expansions and Poisson′s summation ...
Kenneth L. Jones
wiley +1 more source
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
doaj
Note on modulational instability of Boussinesq wavetrains
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 used.
S. Roy Choudhury
wiley +1 more source
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
doaj
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
doaj
A boussinesq-type model for waves generated by flow over a bump
, 2014 A uniform ow disturbed by a bump is studied. The eect of the disturbance is presented at the surface, generating wave. The wave propagation is modeled into a couple of equations, in terms of the surface elevation and the depth average velocity.
L. Wiryanto, S. Mungkasi
semanticscholar +1 more source
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
doaj