Results 101 to 110 of about 2,219 (128)

Analytical solutions of cylindrical and spherical dust ion-acoustic solitary waves

Results in Physics, 2019
In the present work, employing the conventional reductive perturbation method to the field equations of an unmagnetized dusty plasma consisting of inertial ions, Boltzmann electrons and stationary dust particles in the nonplanar geometry we derived ...
Essam. R. El-Zahar, Hilmi Demiray
doaj  

KAM for autonomous quasi-linear perturbations of KdV [PDF]

arXiv, 2014
We prove the existence and stability of Cantor families of quasi-periodic, small amplitude solutions of quasi-linear (i.e. strongly nonlinear) autonomous Hamiltonian perturbations of KdV.
arxiv  

Integrable Hamiltonian equations of fifth order with the Hamiltonian operator $\boldsymbol D_x$ [PDF]

arXiv, 2014
All non-equivalent integrable evolution equations of the fifth order of the form $u_t=D_x\frac{\delta H}{\delta u}$ are found.
arxiv  

An initial-boundary value problem in a strip for two-dimensional Zakharov-Kuznetsov-Burgers equation [PDF]

arXiv, 2014
An initial-boundary value in a strip with homogeneous Dirichlet boundary conditions for two-dimensional Zakharov-Kuznetsov-Burgers equation is considered. Results on global well-posedness and long-time decay of solutions in Sobolev spaces are established.
arxiv  

Renormalized asymptotic solutions of the Burgers equation and the Korteweg-de Vries equation [PDF]

arXiv, 2015
The Cauchy problem for the Burgers equation and the Korteweg-de Vries equation is considered. Uniform renormalized asymptotic solutions are constructed in cases of a large initial gradient and a perturbed initial weak discontinuity.
arxiv  

A Lipschitz metric for conservative solutions of the two-component Hunter--Saxton system [PDF]

arXiv, 2015
We establish the existence of conservative solutions of the initial value problem of the two-component Hunter--Saxton system on the line. Furthermore we investigate the stability of these solutions by constructing a Lipschitz metric.
arxiv  

Perturbational blowup solutions to the compressible Euler equations with damping. [PDF]

Springerplus, 2016
Cheung KL.
europepmc   +1 more source

Fredholm determinants

Open Mathematics, 2011
McKean Henry
doaj   +1 more source

Unconditional deep-water limit of the intermediate long wave equation in low-regularity. [PDF]

Nonlinear Differ Equ Appl
Forlano J, Li G, Zhao T.
europepmc   +1 more source

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Numerical Integrators for Dispersion-Managed KdV Equation

Communications in Computational Physics, 2022
In this paper, we consider the numerics of the dispersion-managed Kortewegde Vries (DM-KdV) equation for describing wave propagations in inhomogeneous media.
Ying He null, Xiaofei Zhao
semanticscholar   +1 more source