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Multi-symplectic Scheme and Norm Conserving Law of Generalized Nonlinear Schrödinger Equation
HUANG Langyang
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS
2009, 26 (5):
693-698.
Multi-symplectic system for generalized nonlinear Schrödinger equation is constructed by canonical transformation.A new norm conserving multi-symplectic scheme is derived.Numerical experiments show that the multi-symplectic scheme shows excellent long-time numerical behavior and preserves norm conserving law better than both leap-frog scheme and symplectic Euler middle scheme.
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