Numerical Solution of Some Nonlocal, Nonlinear Dispersive Wave Equations

Journal of Nonlinear Science ◽

10.1007/s003329910001 ◽

2000 ◽

Vol 10 (1) ◽

pp. 1-22 ◽

Author(s):

B. Pelloni ◽

V. A. Dougalis

Keyword(s):

Numerical Solution ◽

Wave Equations ◽

Dispersive Wave ◽

Nonlinear Dispersive Wave Equations ◽

Nonlinear Dispersive Wave ◽

Nonlocal Nonlinear

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Optimal error estimates of the Fourier spectral method for a class of nonlocal, nonlinear dispersive wave equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2008.03.042 ◽

2009 ◽

Vol 59 (5) ◽

pp. 988-1010 ◽

Author(s):

Zhenguo Deng ◽

Heping Ma

Keyword(s):

Spectral Method ◽

Error Estimates ◽

Wave Equations ◽

Optimal Error Estimates ◽

Dispersive Wave ◽

Fourier Spectral Method ◽

Optimal Error ◽

Nonlinear Dispersive Wave Equations ◽

Nonlinear Dispersive Wave ◽

Nonlocal Nonlinear

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A PIECEWISE UNIFORM ADAPTIVE GRID ALGORITHM FOR NONLINEAR DISPERSIVE WAVE EQUATIONS

Numerical Analysis ◽

10.1142/9789812812872_0008 ◽

1996 ◽

pp. 99-123

Author(s):

ERIC S FRAGA ◽

JOHN Ll MORRIS

Keyword(s):

Wave Equations ◽

Adaptive Grid ◽

Dispersive Wave ◽

Grid Algorithm ◽

Nonlinear Dispersive Wave Equations ◽

Nonlinear Dispersive Wave

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Scaling, stability and singularities for nonlinear, dispersive wave equations: the critical case

Nonlinearity ◽

10.1088/0951-7715/15/3/315 ◽

2002 ◽

Vol 15 (3) ◽

pp. 759-786 ◽

Author(s):

J Angulo ◽

J L Bona ◽

F Linares ◽

M Scialom

Keyword(s):

Wave Equations ◽

Critical Case ◽

Dispersive Wave ◽

Nonlinear Dispersive Wave Equations ◽

Nonlinear Dispersive Wave

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An adaptive mesh refinement method for nonlinear dispersive wave equations

Journal of Computational Physics ◽

10.1016/0021-9991(92)90045-z ◽

1992 ◽

Vol 101 (1) ◽

pp. 94-103 ◽

Author(s):

Eric S Fraga ◽

John Ll Morris

Keyword(s):

Adaptive Mesh Refinement ◽

Wave Equations ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Dispersive Wave ◽

Refinement Method ◽

Nonlinear Dispersive Wave Equations ◽

Nonlinear Dispersive Wave

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On the Exact Solution of Certain Nonlinear Dispersive Wave Equations

Journal of the Physical Society of Japan ◽

10.1143/jpsj.53.947 ◽

1984 ◽

Vol 53 (3) ◽

pp. 947-949 ◽

Author(s):

E. V. Krishnan

Keyword(s):

Exact Solution ◽

Wave Equations ◽

Dispersive Wave ◽

Nonlinear Dispersive Wave Equations ◽

Nonlinear Dispersive Wave

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Modulational instability and envelope solutions of nonlinear dispersive wave equations

Pramana ◽

10.1007/bf02894698 ◽

1978 ◽

Vol 10 (4) ◽

pp. 447-452

Author(s):

A S Sharma ◽

B Buti

Keyword(s):

Wave Equations ◽

Modulational Instability ◽

Dispersive Wave ◽

Nonlinear Dispersive Wave Equations ◽

Nonlinear Dispersive Wave

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Symmetries, solutions and conservation laws of a class of nonlinear dispersive wave equations

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2015.07.010 ◽

2016 ◽

Vol 32 ◽

pp. 114-121 ◽

Author(s):

Maria Luz Gandarias ◽

Chaudry Masood Khalique

Keyword(s):

Conservation Laws ◽

Wave Equations ◽

Dispersive Wave ◽

Nonlinear Dispersive Wave Equations ◽

Nonlinear Dispersive Wave

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A note on blow-up criteria for a class of nonlinear dispersive wave equations with dissipation

Monatshefte für Mathematik ◽

10.1007/s00605-020-01452-1 ◽

2020 ◽

Author(s):

Xijun Deng

Keyword(s):

Wave Equations ◽

Blow Up ◽

Dispersive Wave ◽

Nonlinear Dispersive Wave Equations ◽

Nonlinear Dispersive Wave

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Cauchy problem for a class of nonlinear dispersive wave equations arising in elasto-plastic flow

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2005.04.086 ◽

2006 ◽

Vol 313 (1) ◽

pp. 197-217 ◽

Author(s):

Yang Zhijian

Keyword(s):

Cauchy Problem ◽

Plastic Flow ◽

Wave Equations ◽

Dispersive Wave ◽

Nonlinear Dispersive Wave Equations ◽

Nonlinear Dispersive Wave

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Nonlinear dispersive wave equations for microstructured solids

Proceedings of the Estonian Academy of Sciences ◽

10.3176/proc.2015.3.01 ◽

2015 ◽

Vol 64 (3) ◽

pp. 203 ◽

Author(s):

A Berezovski

Keyword(s):

Wave Equations ◽

Dispersive Wave ◽

Nonlinear Dispersive Wave Equations ◽

Nonlinear Dispersive Wave

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