نتایج جستجو برای: order kdv equation

تعداد نتایج: 1098790  

Journal: :Mathematical Modelling of Natural Phenomena 2021

The current paper is devoted to stochastic damped higher order KdV equation driven by Poisson process. We establish the well-posedness of higher-order equation, and prove that there exists an unique invariant measure for non-random initial conditions. Some discussion on general pure jump noise case are also provided. numerical simulations provided support theoretical results.

Journal: :Discrete and Continuous Dynamical Systems - Series S 2023

The paper is concerned on solitary waves for singularly perturbed generalized KdV equation with high order nonlinear terms. We firstly give the phase portraits of system related to unperturbed under various cases by theory planar dynamical system. Then using geometric singular perturbation and Melnikov's method, existence wave solutions equations terms established. It proven that some particula...

2009
Samer Israwi S. ISRAWI

We study here the water waves problem for uneven bottoms in a highly nonlinear regime where the small amplitude assumption of the Korteweg-de Vries (KdV) equation is enforced. It is known that, for such regimes, a generalization of the KdV equation (somehow linked to the CamassaHolm equation) can be derived and justified [Constantin and Lannes, Arch. Ration. Mech. Anal. 192 (2009) 165–186] when...

Journal: :Transactions of the American Mathematical Society 2014

1992
F. Gesztesy K. Unterkofler

We give a systematic account of isospectral deformations for Sturm-Liouville and Dirac-type operators and associated hierarchies of nonlinear evolution equations. In particular, we study generalized KdV and modified KdV-hierarchies and their reduction to the standard (m)KdV-hierarchy. As an example we study the Harry Dym equation in some detail and relate its solutions to KdV-solutions and to H...

2006
T. Kappeler P. Perry M. Shubin P. Topalov

We investigate the relation between the Korteweg de Vries and modified Korteweg de Vries equations (KdV and mKdV), and find a new algebro-analytic mechanism, similar to the Lax L-A pair, which involves a family of first-order operators Qλ depending on a spectral parameter λ, instead of the third-order operator A. In our framework, any generalized eigenfunction of the Schrödinger operator L, who...

1998
Yann Brenier Doron Levy

The KdV equation can be considered as a special case of the general equation ut + f(u)x − δg(uxx)x = 0, δ > 0, (0.1) where f is non-linear and g is linear, namely f(u) = u/2 and g(v) = v. As the parameter δ tends to 0, the dispersive behavior of the KdV equation has been throughly investigated (see, e.g., [11], [6], [2] and the references therein). We show through numerical evidence that a comp...

نمودار تعداد نتایج جستجو در هر سال

با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید