# Dispersive partial differential equation

## Papers overview

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2018

2018

- 2018

We use exponential sums to study the fractal dimension of the graphs of solutions to linear dispersive PDE. Our techniques applyâ€¦Â (More)

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2014

2014

- 2014

In this paper we study fractal solutions of linear and nonlinear dispersive PDE on the torus. In the first part we answer someâ€¦Â (More)

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2010

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2010

- 2010

The present discussion focuses on models for unidirectional wave propagation in which nonlinear, dispersive and dissipativeâ€¦Â (More)

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2009

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2009

- Computers & Mathematics with Applications
- 2009

In this paper, the Exp-function method is used to obtain general solutions of a firstorder nonlinear ordinary differentialâ€¦Â (More)

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2004

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2004

- 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 wavesâ€¦Â (More)

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2003

2003

- Applied Mathematics and Computation
- 2003

In this paper we propose a new approach for solving the third-order dispersive partial differential equations in oneand higherâ€¦Â (More)

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1998

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1998

- IEEE Trans. Communications
- 1998

Orthogonal frequency-division multiplexing (OFDM) modulation is a promising technique for achieving the high bit rates requiredâ€¦Â (More)

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1998

1998

- 1998

Let u(x, t) = (SÎ©f)(x, t) be the solution of the general dispersive initial value problem: âˆ‚tuâˆ’ iÎ©(D)u = 0, u(x, 0) = f(x), (x, tâ€¦Â (More)

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1997

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1997

- 1997

We construct an invariant manifold of periodic orbits for a class of non-linear SchrÃ¶dinger equations. Using standard ideas ofâ€¦Â (More)

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1997

Highly Cited

1997

- 1997

We establish local well-posedness in the Sobolev space H with any s > 3 2 for an integrable nonlinearly dispersive wave equationâ€¦Â (More)

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