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Volumn 12, Issue 6, 1999, Pages 1601-1627

Solitary waves on FPU lattices: I. Qualitative properties, renormalization and continuum limit

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EID: 0033229031     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/12/6/311     Document Type: Article
Times cited : (221)

References (14)
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    • The stability of solitary waves
    • Benjamin T B 1972 The stability of solitary waves Proc. R. Soc. A 328 153-83
    • (1972) Proc. R. Soc. A , vol.328 , pp. 153-183
    • Benjamin, T.B.1
  • 2
    • 0000133747 scopus 로고
    • On the stability of solitary waves
    • Bona J L 1975 On the stability of solitary waves Proc. R. Soc. A 344 363-74
    • (1975) Proc. R. Soc. A , vol.344 , pp. 363-374
    • Bona, J.L.1
  • 4
    • 0003530086 scopus 로고
    • Studies of nonlinear problems
    • Los Alamos Scientific Laboratory Report LA-1940
    • Fermi E, Pasta J and Ulam S 1955 Studies of nonlinear problems Los Alamos Scientific Laboratory Report LA-1940 (reprinted in Lecture Appl. Math. 15 143-56)
    • (1955) Lecture Appl. Math. , vol.15 , pp. 143-156
    • Fermi, E.1    Pasta, J.2    Ulam, S.3
  • 6
    • 21344488602 scopus 로고
    • Existence theorem for solitary waves on lattices
    • Friesecke G and Wattis J 1994 Existence theorem for solitary waves on lattices Commun. Math. Phys. 161 391-418
    • (1994) Commun. Math. Phys. , vol.161 , pp. 391-418
    • Friesecke, G.1    Wattis, J.2
  • 7
    • 33846361348 scopus 로고
    • Interaction of solitons in a collisionless plasma and the recurrence of initial states
    • Zabusky N J and Kruskal M D 1965 Interaction of solitons in a collisionless plasma and the recurrence of initial states Phys. Rev. Lett. 15 240-3
    • (1965) Phys. Rev. Lett. , vol.15 , pp. 240-243
    • Zabusky, N.J.1    Kruskal, M.D.2
  • 9
    • 84968509293 scopus 로고
    • 2 and the Fourier transform
    • 2 and the Fourier transform Proc. Am. Math. Soc. 95 252-4
    • (1985) Proc. Am. Math. Soc. , vol.95 , pp. 252-254
    • Pego, R.1
  • 11
    • 0009142166 scopus 로고
    • The superperiod of the nonlinear weighted string (FPU) problem
    • Tuck J L and Menzel M T 1972 The superperiod of the nonlinear weighted string (FPU) problem Adv. Math. 9 399-407
    • (1972) Adv. Math. , vol.9 , pp. 399-407
    • Tuck, J.L.1    Menzel, M.T.2
  • 13
    • 0009295912 scopus 로고
    • The KAM theory of systems with short range interactions I
    • Wayne C E 1984 The KAM theory of systems with short range interactions I Commun. Math. Phys. 91 311-29
    • (1984) Commun. Math. Phys. , vol.91 , pp. 311-329
    • Wayne, C.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.