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1

On the Numerical Solution of the Sine–Gordon Equation: I. Integrable Discretizations and Homoclinic Manifolds

M.J. Ablowitz, B.M. Herbst, Constance Schober

Journal:

Journal of Computational Physics

Year:

1996

Language:

english

File:

PDF, 614 KB

english, 1996

2

Homoclinic manifolds and numerical chaos in the nonlinear Schrödinger equation

Mark J. Ablowitz, Constance M. Schober

Journal:

Mathematics and Computers in Simulation

Year:

1994

Language:

english

File:

PDF, 1.29 MB

english, 1994

3

Numerical chaos, roundoff errors, and homoclinic manifolds

Ablowitz, Mark J., Schober, Constance, Herbst, Ben M.

Journal:

Physical Review Letters

Year:

1993

Language:

english

File:

PDF, 725 KB

english, 1993

4

Numerical simulation of quasi-periodic solutions of the sine-Gordon equation

Mark J. Ablowitz, B.M. Herbst, Constance M. Schober

Journal:

Physica D: Nonlinear Phenomena

Year:

1995

Language:

english

File:

PDF, 619 KB

english, 1995

5

Conservation of phase space properties using exponential integrators on the cubic Schrödinger equation

Håvard Berland, Alvaro L. Islas, Constance M. Schober

Journal:

Journal of Computational Physics

Year:

2007

Language:

english

File:

PDF, 1.21 MB

english, 2007

6

Chaotic and homoclinic behavior for numerical discretizations of the nonlinear Schrödinger equation

David W. McLaughlin, Constance M. Schober

Journal:

Physica D: Nonlinear Phenomena

Year:

1992

Language:

english

File:

PDF, 1.14 MB

english, 1992

7

Multisymplecticity and wave action conservation

Constance Schober, Tomasz H. Wlodarczyk

Journal:

Mathematics and Computers in Simulation

Year:

2009

Language:

english

File:

PDF, 463 KB

english, 2009

8

Conformal conservation laws and geometric integration for damped Hamiltonian PDEs

Brian E. Moore, Laura Noreña, Constance M. Schober

Journal:

Journal of Computational Physics

Year:

2013

Language:

english

File:

PDF, 1.42 MB

english, 2013

9

Numerical Stochasticity, Hamiltonian Integrators, and the Nonlinear Schrödinger Equation

MARK J. ABLOWITZ, CONSTANCE SCHOBER

Journal:

Annals of the New York Academy of Sciences

Year:

1995

Language:

english

File:

PDF, 923 KB

english, 1995

10

HAMILTONIAN INTEGRATORS FOR THE NONLINEAR SCHROEDINGER EQUATION

ABLOWITZ, MARK J., SCHOBER, CONSTANCE M.

Journal:

International Journal of Modern Physics C

Year:

1994

File:

PDF, 227 KB

1994

11

Dynamical criteria for rogue waves in nonlinear Schrödinger models

Calini, Annalisa, Schober, Constance M

Journal:

Year:

2012

Language:

english

File:

PDF, 1.53 MB

english, 2012

12

Characterizing JONSWAP rogue waves and their statistics via inverse spectral data

Calini, Annalisa, Schober, Constance M.

Journal:

Year:

2016

Language:

english

File:

PDF, 1.37 MB

english, 2016

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