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Volumn 17, Issue 1, 2004, Pages 229-251

Solitary waves on Fermi-Pasta-Ulam lattices: IV. Proof of stability at low energy

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EID: 0346671222     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/17/1/014     Document Type: Article
Times cited : (103)

References (19)
  • 1
    • 0000363750 scopus 로고
    • 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
    • 0004500194 scopus 로고    scopus 로고
    • Universal geometric condition for the transverse instability of solitary waves
    • Bridges T J 2000 Universal geometric condition for the transverse instability of solitary waves Phys. Rev. Lett. 84 2614-7
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 2614-2617
    • Bridges, T.J.1
  • 5
    • 0001942365 scopus 로고    scopus 로고
    • Fermi E, Pasta J and Ulam S 1955 Studies of nonlinear problems Los Alamos Scientific Laboratory Report LA-1940 Reprinted in: Lect. Appl. Math. 15 143-56
    • Lect. Appl. Math. , vol.15 , pp. 143-156
  • 7
    • 0036836750 scopus 로고    scopus 로고
    • Atomic-scale localization of high-energy solitary waves on lattices
    • Friesecke G and Matthies K 2002 Atomic-scale localization of high-energy solitary waves on lattices Physica D 171 211-20
    • (2002) Physica D , vol.171 , pp. 211-220
    • Friesecke, G.1    Matthies, K.2
  • 8
    • 0033229031 scopus 로고    scopus 로고
    • Solitary waves in Fermi-Pasta-Ulam lattices: I. Qualitative properties, renormalization and continuum limit
    • Friesecke G and Pego R L 1999 Solitary waves in Fermi-Pasta-Ulam lattices: I. Qualitative properties, renormalization and continuum limit Nonlinearity 12 1601-27
    • (1999) Nonlinearity , vol.12 , pp. 1601-1627
    • Friesecke, G.1    Pego, R.L.2
  • 9
    • 0010573332 scopus 로고    scopus 로고
    • Solitary waves in Fermi-Pasta-Ulam lattices: II. Linear implies nonlinear stability
    • Friesecke G and Pego R L 2002 Solitary waves in Fermi-Pasta-Ulam lattices: II. Linear implies nonlinear stability Nonlinearity 15 1343-59
    • (2002) Nonlinearity , vol.15 , pp. 1343-1359
    • Friesecke, G.1    Pego, R.L.2
  • 10
    • 0346171294 scopus 로고    scopus 로고
    • Solitary waves in Fermi-Pasta-Ulam lattices: III. Howland-type Floquet theory
    • Friesecke G and Pego R L 2004 Solitary waves in Fermi-Pasta-Ulam lattices: III. Howland-type Floquet theory Nonlinearity 17 207-27
    • (2004) Nonlinearity , vol.17 , pp. 207-227
    • Friesecke, G.1    Pego, R.L.2
  • 11
    • 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
  • 12
    • 0002781295 scopus 로고
    • A note on the existence of conditionally periodic oscillation in a one-dimensional anharmonic lattice
    • Nishida T 1971 A note on the existence of conditionally periodic oscillation in a one-dimensional anharmonic lattice Mem. Fac. Eng. Kyoto Univ. 33 27-34
    • (1971) Mem. Fac. Eng. Kyoto Univ. , vol.33 , pp. 27-34
    • Nishida, T.1
  • 13
    • 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
  • 14
    • 0003153102 scopus 로고
    • Eigenvalues, and solitary wave instabilities
    • Pego R L and Weinstein M I 1992 Eigenvalues, and solitary wave instabilities Phil. Trans. R. Soc. A 340 47-94
    • (1992) Phil. Trans. R. Soc. A , vol.340 , pp. 47-94
    • Pego, R.L.1    Weinstein, M.I.2
  • 15
    • 21844510556 scopus 로고
    • Asymptotic stability of solitary waves
    • Pego R L and Weinstein M I 1994 Asymptotic stability of solitary waves Commun. Math. Phys. 164 305-49
    • (1994) Commun. Math. Phys. , vol.164 , pp. 305-349
    • Pego, R.L.1    Weinstein, M.I.2
  • 17
    • 0035218466 scopus 로고    scopus 로고
    • Modulational approach to stability of non-topological solitons in semilinear wave equations
    • Stuart D 2001 Modulational approach to stability of non-topological solitons in semilinear wave equations J. Math. Pure Appl. 80 51-83
    • (2001) J. Math. Pure Appl. , vol.80 , pp. 51-83
    • Stuart, D.1
  • 18
    • 0001259642 scopus 로고    scopus 로고
    • Counter-propagating waves on fluid surfaces and the continuum limit of the Fermi-Pasta-Ulam model
    • ed B Fiedler et al (Singapore: World Scientific)
    • Schneider G and Wayne C E 2002 Counter-propagating waves on fluid surfaces and the continuum limit of the Fermi-Pasta-Ulam model Proc. Equadiff 99 ed B Fiedler et al (Singapore: World Scientific) pp 390-404
    • (2002) Proc. Equadiff. 99 , pp. 390-404
    • Schneider, G.1    Wayne, C.E.2
  • 19
    • 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.