Results 111 to 120 of about 22,064 (260)
Observations of the Bottom Boundary Layer Beneath the World's Largest Internal Solitary Waves
Journal of Geophysical Research: Oceans, Volume 130, Issue 3, March 2025.Abstract Measurements in the South China Sea reveal the structure of the bottom boundary layer beneath onshore propagating highly nonlinear internal solitary waves of depression. Offshore directed free stream velocities beneath 13 waves with durations of 10–20 min and velocities up to 1.4 m/s are consistent with the solitary wave solution to the ...
J. H. Trowbridge +7 more
wiley +1 more source
, 2015 The nonlinear propagation of dust-acoustic (DA) waves in a magnetized dusty plasma with a pair of trapped ions is investigated. Starting from a set of hydrodynamic equations for massive dust fluids as well as kinetic Vlasov equations for ions, and ...
Misra, A. P.
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 4015-4034, February 2025.In this paper, we established a polynomial scaling method to investigate the numerical solution of Rosenau–Korteweg De Vries‐regularized long wave (Rosenau‐KdV‐RLW) equation. We start with discretization of the time variable of the equation using a finite difference approach equipped with a linearization.
Ömer Oruç, Alaattin Esen, Fatih Bulut
wiley +1 more source
Alexandria Engineering JournalThis work introduces two (3+1)-dimensional expansions of the Korteweg–de Vries (KdV) and modified KdV (mKdV) equations. These extensions incorporate a second-order time-derivative term, similar to the Boussinesq equation. The Painlevé test is utilized to
Abdul-Majid Wazwaz +3 more
doaj +1 more source
KdV-type equations linked via Baecklund transformations: remarks and perspectives
, 2018 Third order nonlinear evolution equations, that is the Korteweg-deVries (KdV), modified Korteweg-deVries (mKdV) equation and other ones are considered: they all are connected via Baecklund transformations.
Carillo, Sandra
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Coupled system of Korteweg-de Vries equations type in domains with moving boundaries
, 2008 We consider the initial-boundary value problem in a bounded domain with moving boundaries and nonhomogeneous boundary conditions for the coupled system of equations of Korteweg-de Vries (KdV)-type modelling strong interactions between internal solitary ...
E. Bisognin +3 more
semanticscholar +1 more source
Lax representation with first-order operators for new nonlinear Korteweg – de Vries type equations
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2022 Background. In this work, a new representation is constructed for equations of the Korteweg – de Vries (KdV) type. The proposed approach allows to obtain a universal Lax representation for a set of nonlinear partial differential equations, for which ...
V.M. Zhuravlev, V.M. Morozov
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On the well-posedness of the Cauchy problem for dissipative modified Korteweg-de Vries equations
Differential and Integral Equations, 2007 In this paper we consider some dissipative versions of the modified Korteweg de Vries equation ut+uxxx+ |Dx| α u+u 2 ux = 0 with 0 1/4 − α/4 on the basis of the (k; Z)−multiplier norm estimate obtained by Tao in (9) for KdV equation.
Wengu Chen, Changxing Miao, Junfeng Li
semanticscholar +1 more source
Shallow water cnoidal wave interactions [PDF]
Nonlinear Processes in Geophysics, 1994 The nonlinear dynamics of cnoidal waves, within the context of the general N-cnoidal wave solutions of the periodic Korteweg-de Vries (KdV) and Kadomtsev-Petvishvilli (KP) equations, are considered.
A. R. Osborne
doaj
The KdV hierarchy: universality and a Painleve transcendent
, 2011 We study the Cauchy problem for the Korteweg-de Vries (KdV) hierarchy in the small dispersion limit where $\e\to 0$. For negative analytic initial data with a single negative hump, we prove that for small times, the solution is approximated by the ...
Claeys, T., Grava, T.
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