نتایج جستجو برای: davey stewartson 2 1 dimensional equation

تعداد نتایج: 4366193  

2002
S. S. Ghosh A. Sen G. S. Lakhina

Recent high resolution measurements of POLAR and FAST satellites have revealed two-dimensional coherent structures in the polar cap boundary layer (PCBL) region. Since the ion temperature is often observed to be greater than the electron temperature in this region, electron acoustic waves can exist as a normal mode of the plasma system. It is shown that the nonlinear evolution of such waves can...

Journal: :Communications on Pure and Applied Mathematics 2022

Complex geometric optics solutions to a system of d-bar equations appearing in the context electrical impedance tomography and scattering theory integrable Davey-Stewartson II are studied for large values spectral parameter k. For potentials q ∈ ⋅ − 2 H s ℂ some 1 , it is shown that solution converges as series / k . being characteristic function strictly convex open set with smooth boundary, t...

Journal: :Open Mathematics 2022

Abstract The exact traveling wave solutions of generalized Davey-Stewartson equations with arbitrary power nonlinearities are studied using the dynamical system and first integral methods. Taking different parameter conditions, we obtain periodic solutions, solitary kink anti-kink solutions.

1998
Roy Chowdhury

Introduction: Inverse scattering transform holds a central place in the analysis of nonlinear integrable system in either (1+1)or (2+1)-dimensions [1]. On the other hand it has been found that explicit soliton solutions can also be obtained by the use of Bäcklund transformations in a much easier way [2]. These Bäcklund transformations are also useful in proving the superposition formulae for th...

2003
Masayoshi TAJIRI

The solution to the Davey–Stewartson I equation is analyzed to show that the resonance between periodic soliton and growing-and-decaying mode exists. Under the quasi-resonant condition, the mode develops first in the one side region of the periodic soliton. The periodic soliton is accelerated as a result of the growth and decay of the mode existed in the region and the wave field shifts to the ...

2003
A. S. Fokas

Dromions are exponentially localised coherent structures supported by nonlinear integrable evolution equations in two spatial dimensions. In the study of initial-value problems on the plane, such solutions occur only if one imposes nontrivial boundary conditions at infinity, a situation of dubious physical significance. However it is established here that dromions appear naturally in the study ...

1999
Sen-yue Lou

To study a nonlinear partial differential equation (PDE), the Painlev́e expansion developed by Weiss, Tabor and Carnevale (WTC) is one of the most powerful methods. In this paper, using any singular manifold, the expansion series in the usual Painlev́e analysis is shown to be resummable in some different ways. A simple nonstandard truncated expansion with a quite universal reduction function is u...

2004
V. G. DUBROVSKY

Exact solutions of differential equations of physics are very important for the understanding of various physical phenomena. The generation and application of new methods of calculation of exact solutions was and is actual task in all times for human scientific civilization. In the last two decades the Inverse Spectral Transform (IST) method has been generalized and successfully applied to vari...

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