Dispersive partial differential equation

Known as: Dispersive, Dispersive PDE, Dispersive PDE Wiki 
In mathematics, a dispersive partial differential equation or dispersive PDE is a partial differential equation that is dispersive. In this context… (More)
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2018
2018
We use exponential sums to study the fractal dimension of the graphs of solutions to linear dispersive PDE. Our techniques apply… (More)
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2014
2014
In this paper we study fractal solutions of linear and nonlinear dispersive PDE on the torus. In the first part we answer some… (More)
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Highly Cited
2010
Highly Cited
2010
The present discussion focuses on models for unidirectional wave propagation in which nonlinear, dispersive and dissipative… (More)
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2009
Highly Cited
2009
In this paper, the Exp-function method is used to obtain general solutions of a firstorder nonlinear ordinary differential… (More)
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Highly Cited
2004
Highly Cited
2004
In part I of this work (Bona J L, Chen M and Saut J-C 2002 Boussinesq equations and other systems for small-amplitude long waves… (More)
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2003
2003
In this paper we propose a new approach for solving the third-order dispersive partial differential equations in oneand higher… (More)
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Highly Cited
1998
Highly Cited
1998
Orthogonal frequency-division multiplexing (OFDM) modulation is a promising technique for achieving the high bit rates required… (More)
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1998
1998
Let u(x, t) = (SΩf)(x, t) be the solution of the general dispersive initial value problem: ∂tu− iΩ(D)u = 0, u(x, 0) = f(x), (x, t… (More)
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Highly Cited
1997
Highly Cited
1997
We construct an invariant manifold of periodic orbits for a class of non-linear Schrödinger equations. Using standard ideas of… (More)
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Highly Cited
1997
Highly Cited
1997
  • Yi A. LiSchool
  • 1997
We establish local well-posedness in the Sobolev space H with any s > 3 2 for an integrable nonlinearly dispersive wave equation… (More)
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