Abstract
Recently, Bridges and Reich introduced the concept of multisymplectic spectral discretizations for Hamiltonian wave equations with periodic boundary conditions [5]. In this paper, we show that the 1D nonlinear Schrodinger equation and the 2D Gross-Pitaevskii equation are multi-symplectic and derive multi-symplectic spectral discretizations of these systems. The effectiveness of the discretizations is numerically tested using initial data for multi-phase solutions. © Springer-Verlag 2002.
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CITATION STYLE
Islas, A. L., & Schober, C. M. (2002). Multisymplectic spectral methods for the Gross-Pitaevskii equation. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2331 LNCS, pp. 486–495). Springer Verlag. https://doi.org/10.1007/3-540-47789-6_51
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