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Mathematics and Computers in Simulation
Volumn 50, Issue 1-4, 1999, Pages 255-263
Symplectic integration of Sine-Gordon type systems
Author keywords

Finite difference method; Hamiltonian system; Sine Gordon equations; Solitary wave propagation; Symplectic integration
Indexed keywords

EID: 0000211979     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-4754(99)00083-x     Document Type: Article
Times cited : (11)
References (12)
  • 2
    • 45949127267 scopus 로고
    • Kink-antikink interactions in the double Sine-Gordon equation
    • D.K. Campbell, M. Peyrard, P. Sodano, Kink-antikink interactions in the double Sine-Gordon equation, Physica D 19 (1986) 165-205.
    • (1986) Physica D , vol.19 , pp. 165-205
    • Campbell, D.K.1    Peyrard, M.2    Sodano, P.3
  • 3
    • 0003313133 scopus 로고    scopus 로고
    • Properties of infinite dimensional Hamilton system
    • Springer, New York
    • P. Chernoff, J. Marsden, Properties of infinite dimensional Hamilton system, in: Lecture Notes in Mathematics, vol. 425, Springer, New York.
    • Lecture Notes in Mathematics , vol.425
    • Chernoff, P.1    Marsden, J.2
  • 4
    • 0001299089 scopus 로고
    • Difference schemes for Hamiltonian formalism and symplectic geometry
    • K. Feng, Difference schemes for Hamiltonian formalism and symplectic geometry, J. Comput. Math. 4 (1986) 279-289.
    • (1986) J. Comput. Math. , vol.4 , pp. 279-289
    • Feng, K.1
  • 5
    • 0003034563 scopus 로고
    • The symplectic methods for the computation of Hamiltonian equation
    • Z. You-lan, G. Ben-Yu (Eds.), Proceedings of the First Chinese Conference on Numerical Methods of PDE's, Springer, New York
    • K. Feng, M. Qin, The symplectic methods for the computation of Hamiltonian equation, in: Z. You-lan, G. Ben-Yu (Eds.), Proceedings of the First Chinese Conference on Numerical Methods of PDE's, Lecture Notes in Mathematics, vol. 1297, Springer, New York, 1987, pp. 1-37.
    • (1987) Lecture Notes in Mathematics , vol.1297 , pp. 1-37
    • Feng, K.1    Qin, M.2
  • 6
    • 0002961720 scopus 로고
    • Construction of canonical difference schemes for Hamiltonian formalism via generating functions
    • K. Feng, H. Wu, M. Qin, D. Wang, Construction of canonical difference schemes for Hamiltonian formalism via generating functions, J. Comput. Math. 7 (1989) 71-96.
    • (1989) J. Comput. Math. , vol.7 , pp. 71-96
    • Feng, K.1    Wu, H.2    Qin, M.3    Wang, D.4
  • 7
    • 0000301299 scopus 로고
    • A symplectic difference scheme for the infinite dimensional Hamilton system
    • C. Li, M. Qin, A symplectic difference scheme for the infinite dimensional Hamilton system, J. Comput. Math. 6 (1988) 164-174.
    • (1988) J. Comput. Math. , vol.6 , pp. 164-174
    • Li, C.1    Qin, M.2
  • 9
    • 0001603908 scopus 로고
    • Global weak entropy solutions to quasilinear wave equations of Klein-Gordon and Sine-Gordon type
    • P. Marcati, R. Natalini, Global weak entropy solutions to quasilinear wave equations of Klein-Gordon and Sine-Gordon type, IEEE Trans. Comput. 38 (1989) 1526-1538.
    • (1989) IEEE Trans. Comput. , vol.38 , pp. 1526-1538
    • Marcati, P.1    Natalini, R.2
  • 10
    • 0025249534 scopus 로고
    • Multi-stage symplectic schemes of two kinds of Hamiltonian systems for wave equations
    • M. Qin, M. Zang, Multi-stage symplectic schemes of two kinds of Hamiltonian systems for wave equations, Comput. Math. Appl. 19 (1990) 51-62.
    • (1990) Comput. Math. Appl. , vol.19 , pp. 51-62
    • Qin, M.1    Zang, M.2
  • 11
    • 0000295807 scopus 로고
    • Explicit symplectic difference scheme for separatable Hamiltonian system
    • M. Qin, D. Wang, M. Zhang, Explicit symplectic difference scheme for separatable Hamiltonian system, J. Comput. Math. 9 (1991) 211-221.
    • (1991) J. Comput. Math. , vol.9 , pp. 211-221
    • Qin, M.1    Wang, D.2    Zhang, M.3

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.