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Volumn 13, Issue 1, 2005, Pages 203-218

Nonlinear stability of solitary waves for a 2-D benney-luke equation

Author keywords

Concentration compactness; Convexity; Modulated energy; Orbital stability; Solitary waves

Indexed keywords

EID: 18144420789 PISSN: 10780947 EISSN: None Source Type: Journal
DOI: 10.3934/dcds.2005.13.203 Document Type: Article

Times cited : (20)

References (12)

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3
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- Two-dimensional solitary waves for a Benney-Luke Equation
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- Pego, R.L.¹ Quintero, J.R.²

4
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- Stability Theory of Solitary Waves in Presence of Symmetry, I
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- Grillakis, M.¹ Shatah, J.² Strauss, W.³

5
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- Nonlinear stability of a one-dimensional Boussinesq equation
- Quintero, J.R. (2003): Nonlinear stability of a one-dimensional Boussinesq equation. Dynam. Diff. eq. 15, 125-142
- (2003) Dynam. Diff. Eq. , vol.15 , pp. 125-142
- Quintero, J.R.¹

6
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- Stable standing waves of nonlinear Klein-Gordon equations
- Shatah, J.M. (1983): Stable standing waves of nonlinear Klein-Gordon equations. Comm. Math. Phys. A. 91, 313-327
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7
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- Remarks on the stability of generalized KP solitary waves
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- De Bouard, A.¹ Saut, J.C.²

8
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- Nonlinear stability of solitary waves of a generalized Kadomtsev-Petviashvili equation
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- Liu, Y.¹ Wang, X.-P.²

9
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- Stability and instability of standing waves for the nonlinear Schrödinger equation with harmonic potential
- Fukuizumi, R. (2001): Stability and instability of standing waves for the nonlinear Schrödinger equation with harmonic potential. Discrite contin. Dynam. Systems 7, 525-544
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10
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- In Preparation
- Quintero, J.R. (2003): The Cauchy problem for the Benney-Luke equation. In Preparation
- (2003) The Cauchy Problem for the Benney-Luke Equation
- Quintero, J.R.¹

11
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- A rigorous link between KP and a Benney-Luke Equation
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- Paumond, L.¹

12
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