Results 61 to 70 of about 18,115 (195)
Blowing-up solutions of the time-fractional dispersive equations
Advances in Nonlinear Analysis, 2021 This paper is devoted to the study of initial-boundary value problems for time-fractional analogues of Korteweg-de Vries, Benjamin-Bona-Mahony, Burgers, Rosenau, Camassa-Holm, Degasperis-Procesi, Ostrovsky and time-fractional modified Korteweg-de Vries ...
Alsaedi Ahmed +3 more
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Symmetries and reductions of integrable nonlocal partial differential equations
, 2019 In this paper, symmetry analysis is extended to study nonlocal differential equations, in particular two integrable nonlocal equations, the nonlocal nonlinear Schr\"odinger equation and the nonlocal modified Korteweg--de Vries equation.
Peng, Linyu
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Cosmology and the Korteweg-de Vries equation [PDF]
Physical Review D, 2012 The Korteweg-de Vries (KdV) equation is a non-linear wave equation that has played a fundamental role in diverse branches of mathematical and theoretical physics. In the present paper, we consider its significance to cosmology. It is found that the KdV equation arises in a number of important scenarios, including inflationary cosmology, the cyclic ...
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Symmetries for the Semi-Discrete Lattice Potential Korteweg–de Vries Equation
MathematicsIn this paper, we prove that the isospectral flows associated with both the x-part and the n-part of the Lax pair of the semi-discrete lattice potential Korteweg–de Vries equation are symmetries of the equation.
Junwei Cheng, Xiang Tian
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Theoretical investigation of the behavior of spherical ion- acoustic solitons in two-temperature plasma [PDF]
مجله علوم و فنون هستهای, 2019 The propagation of the small amplitude ion-acoustic solitary waves (IASWs) is studied in a plasma containing cold fluid ions and multi-temperature electrons (cool and hot electrons) with the nonextensive distribution.
M Nezam, A Nazari Golshan
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On the Stochastic Korteweg–de Vries Equation
Journal of Functional Analysis, 1998 The authors study the following stochastic partial differential equation \[ {\partial u\over \partial t}+ {\partial^3 u\over\partial x^3} +u{\partial u\over \partial x} =f+ \Phi(u) {\partial^2 B\over \partial t\partial x}, \tag{*} \] where \(u\) is a random process defined on \((x,t)\in \mathbb{R}\times \mathbb{R}^+\), \(f\) is a deterministic forcing ...
de Bouard, A, Debussche, A
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The Sylvester equation and integrable equations: I. The Korteweg-de Vries system and sine-Gordon equation [PDF]
, 2014 The paper is to reveal the direct links between the well known Sylvester equation in matrix theory and some integrable systems. Using the Sylvester equation $\boldsymbol{K} \boldsymbol{M}+\boldsymbol{M} \boldsymbol{K}=\boldsymbol{r}\, \boldsymbol{s}^{T}$
Xu, Dan-dan +2 more
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Near-linear dynamics in KdV with periodic boundary conditions
, 2009 Near linear evolution in Korteweg de Vries (KdV) equation with periodic boundary conditions is established under the assumption of high frequency initial data.
Colliander J Keel M Staffilani G Takaoka H Tao T +6 more
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White Noise Driven Korteweg–de Vries Equation
Journal of Functional Analysis, 1999 The authors consider a Korteweg-de Vries equation on the real line which is perturbed by additive noise. They use function spaces similar to those introduced by \textit{J. Bourgain} [Geom. Funct. Anal. 3, No. 3, 209-262 (1993; Zbl 0787.35098)] to prove well-posedness results in \(L^2(\mathbb{R})\).
de Bouard, A. +2 more
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A Paley-Wiener Theorem for Periodic Scattering with Applications to the Korteweg-de Vries Equation [PDF]
, 2010 Consider a one-dimensional Schroedinger operator which is a short range perturbation of a finite-gap operator. We give necessary and sufficient conditions on the left, right reflection coefficient such that the difference of the potentials has finite ...
Egorova, Iryna, Teschl, Gerald
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