Symplectic and multi-symplectic methods for the nonlinear schrödinger equation

Computers and Mathematics with Applications

Volumn 43, Issue 8-9, 2002, Pages 1095-1106

  Chen, Jing Bo ^a   Qin, Meng Zhao ^b   Tang, Yi Fa ^b  

^a INSTITUTE OF THEORETICAL PHYSICS   (China)

^b INSTITUTE OF COMPUTATIONAL MATHEMATICS AND SCIENTIFIC ENGINEERING COMPUTING   (China)

Author keywords

Local energy conservation; Multi symplectic; Nonlinear Schr dinger equation; Six point scheme; Symplectic

Indexed keywords

ENERGY CONSERVATION; HAMILTONIANS; INTEGRATION; MATHEMATICAL OPERATORS; SOLITONS; WAVE EQUATIONS;

SYMPLECTIC INTEGRATORS;

NONLINEAR EQUATIONS;

EID: 0036532037     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(02)80015-3     Document Type: Article

References (15)

1. On numerical methods for Hamiltonian PDE's and a collocation method for the Vlasov-Maxwell equations
2. Construction of symplectic schemes for wave equations via hyperbolic functions sinh(x), cosh(x), and tanh(x)
3. Symplectic methods for the nonlinear Schrödinger equation
4. Multi-symplectic structures and wave propagation
5. Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations
6. Symplectic integrators for Ablowitz-Ladik discrete nonlinear Schrödinger equation
7. Symplectic methods for the Ablowitz-Ladik model
8. Symplectic integration of Hamiltonian systems
9. The symplectic methods for computation of Hamiltonian equations
10. A finite difference method for the Korteweg-de Vries and the Kadomtsev-Petviashvili equations