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Volumn 39, Issue 9-10, 2004, Pages 1035-1047

Multisymplecticity of the centred box scheme for a class of hamiltonian PDEs and an application to quasi-periodically solitary waves

Author keywords

Centred box scheme; Hamiltonian PDEs; Multisymplecticity; Nonautonomous; Quasi periodic KdV equation; Quasi periodically solitary wave

Indexed keywords


EID: 3543095217     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(04)90533-X     Document Type: Article
Times cited : (10)

References (21)
  • 1
    • 0042137401 scopus 로고    scopus 로고
    • Multi-symplectic structures and wave propagation
    • Bridges T.J. Multi-symplectic structures and wave propagation. Math. Proc. Camb. Phil. Soc. 121:1997;147-190
    • (1997) Math. Proc. Camb. Phil. Soc. , vol.121 , pp. 147-190
    • Bridges, T.J.1
  • 2
    • 0037832748 scopus 로고    scopus 로고
    • Multi-symplectic integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity
    • Bridges T.J, Reich S. Multi-symplectic integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity. Phys. Lett. A. 284:2001;184-193
    • (2001) Phys. Lett. a , vol.284 , pp. 184-193
    • Bridges, T.J.1    Reich, S.2
  • 3
    • 0032476963 scopus 로고    scopus 로고
    • Multisymplectic geometry, variational integrators, and nonlinear PDEs
    • Marsden J.E, Patrick G.P, Shkoller S. Multisymplectic geometry, variational integrators, and nonlinear PDEs. Comm. in Math. Phys. 199:1999;351-395
    • (1999) Comm. in Math. Phys. , vol.199 , pp. 351-395
    • Marsden, J.E.1    Patrick, G.P.2    Shkoller, S.3
  • 4
    • 0000140852 scopus 로고    scopus 로고
    • Variational methods, multisymplectic geometry and continuum mechanics
    • Marsden J.E, Pekarsky S, Shkoller S, West M. Variational methods, multisymplectic geometry and continuum mechanics. J. Geom. and Phys. 38:2001;253-284
    • (2001) J. Geom. and Phys. , vol.38 , pp. 253-284
    • Marsden, J.E.1    Pekarsky, S.2    Shkoller, S.3    West, M.4
  • 5
    • 0013039699 scopus 로고    scopus 로고
    • Multisymplectic geometry, covariant Hamiltonians and water waves
    • Marsden J.E, Shkoller S. Multisymplectic geometry, covariant Hamiltonians and water waves. Math. Proc. Comb. Phil. Soc. 125:1999;553-575
    • (1999) Math. Proc. Comb. Phil. Soc. , vol.125 , pp. 553-575
    • Marsden, J.E.1    Shkoller, S.2
  • 6
    • 0034687898 scopus 로고    scopus 로고
    • Multi-symplectic Runge-Kutta methods for Hamiltonian wave equation
    • Reich S. Multi-symplectic Runge-Kutta methods for Hamiltonian wave equation. J. Comput. Phys. 157:2000;473-499
    • (2000) J. Comput. Phys. , vol.157 , pp. 473-499
    • Reich, S.1
  • 7
    • 0346679231 scopus 로고    scopus 로고
    • Notes on numerical methods for Hamiltonian PDEs
    • Reich S. Notes on numerical methods for Hamiltonian PDEs. CCAST-WL Workshop Reading Material. 6:(3):2001;153-174
    • (2001) CCAST-WL Workshop Reading Material , vol.6 , Issue.3 , pp. 153-174
    • Reich, S.1
  • 8
    • 84867955067 scopus 로고    scopus 로고
    • A novel numerical approach to simulating nonlinear Schrödinger equation with varying coefficients
    • Hong J, Liu Y. A novel numerical approach to simulating nonlinear Schrödinger equation with varying coefficients. Appl. Math. Lett. 16:(5):2003;759-765
    • (2003) Appl. Math. Lett. , vol.16 , Issue.5 , pp. 759-765
    • Hong, J.1    Liu, Y.2
  • 10
    • 31244436460 scopus 로고    scopus 로고
    • Multi-symplecticity of the centred box discritization for Hamiltonian PDEs with m ≥ 2 space dimensions
    • Hong J, Qin M-Z. Multi-symplecticity of the centred box discritization for Hamiltonian PDEs with m ≥ 2 space dimensions. Appl. Math. Lett. 15:(8):2002;1005-1011
    • (2002) Appl. Math. Lett. , vol.15 , Issue.8 , pp. 1005-1011
    • Hong, J.1    Qin, M.-Z.2
  • 11
    • 0034640067 scopus 로고    scopus 로고
    • Multisymplectic geometry and multisymplectic Preissmann scheme for the KdV equation
    • Zhao P, Qin M. Multisymplectic geometry and multisymplectic Preissmann scheme for the KdV equation. J. Phys. A. Math. Gen. 33:2000;3613-3626
    • (2000) J. Phys. A. Math. Gen. , vol.33 , pp. 3613-3626
    • Zhao, P.1    Qin, M.2
  • 13
    • 0033432340 scopus 로고    scopus 로고
    • Exact solutions of a variable-coefficient KdV equation arising in a shallow water
    • Dai H.-H. Exact solutions of a variable-coefficient KdV equation arising in a shallow water. J. Phys. Soc. Jap. 68:(6):1999;1854-1858
    • (1999) J. Phys. Soc. Jap. , vol.68 , Issue.6 , pp. 1854-1858
    • Dai, H.-H.1
  • 14
    • 0346207389 scopus 로고    scopus 로고
    • Numerical simulation of the stochastic Korteweg-de Vries equation
    • Debussche A, Printems J. Numerical simulation of the stochastic Korteweg-de Vries equation. Physica D. 134:1999;200-226
    • (1999) Physica D , vol.134 , pp. 200-226
    • Debussche, A.1    Printems, J.2
  • 16
    • 0000140547 scopus 로고
    • Slowly varying solitary waves. I. Korteweg-de Vries equation
    • Grimshaw R. Slowly varying solitary waves. I. Korteweg-de Vries equation. Proc. R. Soc. Lond. A. 368:1979;359-375
    • (1979) Proc. R. Soc. Lond. a , vol.368 , pp. 359-375
    • Grimshaw, R.1
  • 17
    • 0000384005 scopus 로고    scopus 로고
    • Auto-Bäcklund transformation and analytic solutions for general variable-coefficient KdV equation
    • Hong W, Jung Y-D. Auto-Bäcklund transformation and analytic solutions for general variable-coefficient KdV equation. Physics Letters A. 257:1999;149-152
    • (1999) Physics Letters a , vol.257 , pp. 149-152
    • Hong, W.1    Jung, Y.-D.2
  • 18
    • 0000205035 scopus 로고
    • Painlevé property of general variable-coefficient versions of the Korteweg-de Vries and nonlinear Schrödinger equations
    • Joshi N. Painlevé property of general variable-coefficient versions of the Korteweg-de Vries and nonlinear Schrödinger equations. Physics Letter A. 125:1987;456-460
    • (1987) Physics Letter a , vol.125 , pp. 456-460
    • Joshi, N.1
  • 19
    • 33846361348 scopus 로고
    • Interaction of "solitons" in a collisionless plasma and the recurrence of initial states
    • Zabusky N.J, Kruskal M.D. Interaction of "solitons" in a collisionless plasma and the recurrence of initial states. Physical Review Letters. 15:(6):1965;240-243
    • (1965) Physical Review Letters , vol.15 , Issue.6 , pp. 240-243
    • Zabusky, N.J.1    Kruskal, M.D.2
  • 20
    • 0002080361 scopus 로고
    • Numerical simulation of quasi-periodic solutions of the sine-Gordon equation
    • Ablowitz M.J, Herbst B.M, Schober C.M. Numerical simulation of quasi-periodic solutions of the sine-Gordon equation. Physica D. 87:1995;37-47
    • (1995) Physica D , vol.87 , pp. 37-47
    • Ablowitz, M.J.1    Herbst, B.M.2    Schober, C.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.