메뉴 건너뛰기




Volumn 35, Issue 47, 2002, Pages 10085-10100

Periodic solutions of nonlinear equations obtained by linear superposition

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0037195739     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/47/309     Document Type: Article
Times cited : (36)

References (27)
  • 1
    • 0004241724 scopus 로고
    • Cambridge: Cambridge University Press
    • Drazin P and Johnson R 1989 Solitons: an Introduction (Cambridge: Cambridge University Press); Ablowitz M and Segur H 1981 Solitons and the Inverse Scattering Transform (Philadelphia: SIAM); Newell A 1985 Solitons in Mathematics and Physics (Philadelphia: SIAM)
    • (1989) Solitons: An Introduction
    • Drazin, P.1    Johnson, R.2
  • 2
    • 0003816609 scopus 로고
    • Philadelphia: SIAM
    • Drazin P and Johnson R 1989 Solitons: an Introduction (Cambridge: Cambridge University Press); Ablowitz M and Segur H 1981 Solitons and the Inverse Scattering Transform (Philadelphia: SIAM); Newell A 1985 Solitons in Mathematics and Physics (Philadelphia: SIAM)
    • (1981) Solitons and the Inverse Scattering Transform
    • Ablowitz, M.1    Segur, H.2
  • 3
    • 0003595527 scopus 로고
    • Philadelphia: SIAM
    • Drazin P and Johnson R 1989 Solitons: an Introduction (Cambridge: Cambridge University Press); Ablowitz M and Segur H 1981 Solitons and the Inverse Scattering Transform (Philadelphia: SIAM); Newell A 1985 Solitons in Mathematics and Physics (Philadelphia: SIAM)
    • (1985) Solitons in Mathematics and Physics
    • Newell, A.1
  • 5
    • 0036629855 scopus 로고    scopus 로고
    • Cyclic identities involving Jacobi elliptic functions
    • Khare A and Sukhatme U 2002 Cyclic identities involving Jacobi elliptic functions J. Math. Phys. 43 3798; Khare A, Lakshminarayan A and Sukhatme U 2002 Cyclic identities involving Jacobi elliptic functions-II Preprint math-ph/0207019
    • (2002) J. Math. Phys. , vol.43 , pp. 3798
    • Khare, A.1    Sukhatme, U.2
  • 10
    • 0035828886 scopus 로고    scopus 로고
    • Liu S, Fu Z, Liu S and Zhao Q 2001 Phys. Lett. A 289 69; Fu Z, Liu S, Liu S and Zhao Q 2001 Phys. Lett. A 290 72; Parkes E J, Duffy B R and Abbott P C 2002 Phys. Lett. A 295 280
    • (2001) Phys. Lett. A , vol.289 , pp. 69
    • Liu, S.1    Fu, Z.2    Liu, S.3    Zhao, Q.4
  • 11
    • 0035813363 scopus 로고    scopus 로고
    • Liu S, Fu Z, Liu S and Zhao Q 2001 Phys. Lett. A 289 69; Fu Z, Liu S, Liu S and Zhao Q 2001 Phys. Lett. A 290 72; Parkes E J, Duffy B R and Abbott P C 2002 Phys. Lett. A 295 280
    • (2001) Phys. Lett. A , vol.290 , pp. 72
    • Fu, Z.1    Liu, S.2    Liu, S.3    Zhao, Q.4
  • 12
    • 0036539957 scopus 로고    scopus 로고
    • Liu S, Fu Z, Liu S and Zhao Q 2001 Phys. Lett. A 289 69; Fu Z, Liu S, Liu S and Zhao Q 2001 Phys. Lett. A 290 72; Parkes E J, Duffy B R and Abbott P C 2002 Phys. Lett. A 295 280
    • (2002) Phys. Lett. A , vol.295 , pp. 280
    • Parkes, E.J.1    Duffy, B.R.2    Abbott, P.C.3
  • 13
    • 36849101831 scopus 로고
    • Hirota R 1973 J. Math. Phys. 14 810; Otwinowski M, Paul R and Laidlaw W G 1988 Phys. Lett. A 128 483; Wang M L 1995 Phys. Lett. A 216 169; Van C 1996 Phys. Lett. A 224 77; Parkes E J and Duffy B R 1997 Phys. Lett. A 229 217; Yang L, Liu J and Yang K 2001 Phys. Lett. A 278 267
    • (1973) J. Math. Phys. , vol.14 , pp. 810
    • Hirota, R.1
  • 14
    • 0000678969 scopus 로고
    • Hirota R 1973 J. Math. Phys. 14 810; Otwinowski M, Paul R and Laidlaw W G 1988 Phys. Lett. A 128 483; Wang M L 1995 Phys. Lett. A 216 169; Van C 1996 Phys. Lett. A 224 77; Parkes E J and Duffy B R 1997 Phys. Lett. A 229 217; Yang L, Liu J and Yang K 2001 Phys. Lett. A 278 267
    • (1988) Phys. Lett. A , vol.128 , pp. 483
    • Otwinowski, M.1    Paul, R.2    Laidlaw, W.G.3
  • 15
    • 4243350479 scopus 로고
    • Hirota R 1973 J. Math. Phys. 14 810; Otwinowski M, Paul R and Laidlaw W G 1988 Phys. Lett. A 128 483; Wang M L 1995 Phys. Lett. A 216 169; Van C 1996 Phys. Lett. A 224 77; Parkes E J and Duffy B R 1997 Phys. Lett. A 229 217; Yang L, Liu J and Yang K 2001 Phys. Lett. A 278 267
    • (1995) Phys. Lett. A , vol.216 , pp. 169
    • Wang, M.L.1
  • 16
    • 0037683022 scopus 로고    scopus 로고
    • Hirota R 1973 J. Math. Phys. 14 810; Otwinowski M, Paul R and Laidlaw W G 1988 Phys. Lett. A 128 483; Wang M L 1995 Phys. Lett. A 216 169; Van C 1996 Phys. Lett. A 224 77; Parkes E J and Duffy B R 1997 Phys. Lett. A 229 217; Yang L, Liu J and Yang K 2001 Phys. Lett. A 278 267
    • (1996) Phys. Lett. A , vol.224 , pp. 77
    • Van, C.1
  • 17
    • 0042440381 scopus 로고    scopus 로고
    • Hirota R 1973 J. Math. Phys. 14 810; Otwinowski M, Paul R and Laidlaw W G 1988 Phys. Lett. A 128 483; Wang M L 1995 Phys. Lett. A 216 169; Van C 1996 Phys. Lett. A 224 77; Parkes E J and Duffy B R 1997 Phys. Lett. A 229 217; Yang L, Liu J and Yang K 2001 Phys. Lett. A 278 267
    • (1997) Phys. Lett. A , vol.229 , pp. 217
    • Parkes, E.J.1    Duffy, B.R.2
  • 18
    • 0035825177 scopus 로고    scopus 로고
    • Hirota R 1973 J. Math. Phys. 14 810; Otwinowski M, Paul R and Laidlaw W G 1988 Phys. Lett. A 128 483; Wang M L 1995 Phys. Lett. A 216 169; Van C 1996 Phys. Lett. A 224 77; Parkes E J and Duffy B R 1997 Phys. Lett. A 229 217; Yang L, Liu J and Yang K 2001 Phys. Lett. A 278 267
    • (2001) Phys. Lett. A , vol.278 , pp. 267
    • Yang, L.1    Liu, J.2    Yang, K.3
  • 19
    • 0004245694 scopus 로고
    • New York: Dover
    • For the properties of Jacobi elliptic functions, see, for example, Abramowitz M and Stegun I 1964 Handbook of Mathematical Functions (New York: Dover); Gradshteyn I S and Ryzhik I M 1980 Table of Integrals, Series and Products (New York: Academic)
    • (1964) Handbook of Mathematical Functions
    • Abramowitz, M.1    Stegun, I.2
  • 20
    • 0003498504 scopus 로고
    • New York: Academic
    • For the properties of Jacobi elliptic functions, see, for example, Abramowitz M and Stegun I 1964 Handbook of Mathematical Functions (New York: Dover); Gradshteyn I S and Ryzhik I M 1980 Table of Integrals, Series and Products (New York: Academic)
    • (1980) Table of Integrals, Series and Products
    • Gradshteyn, I.S.1    Ryzhik, I.M.2
  • 21
    • 0042407578 scopus 로고    scopus 로고
    • See, for example, Carr L D, Clark C W and Reinhardt W P 2000 Phys. Rev. A 62 063610; Carr L D, Clark C W and Reinhardt W P 2000 Phys. Rev. A 62 063611, and references therein
    • (2000) Phys. Rev. A , vol.62 , pp. 063610
    • Carr, L.D.1    Clark, C.W.2    Reinhardt, W.P.3
  • 22
    • 4243638451 scopus 로고    scopus 로고
    • and references therein
    • See, for example, Carr L D, Clark C W and Reinhardt W P 2000 Phys. Rev. A 62 063610; Carr L D, Clark C W and Reinhardt W P 2000 Phys. Rev. A 62 063611, and references therein
    • (2000) Phys. Rev. A , vol.62 , pp. 063611
    • Carr, L.D.1    Clark, C.W.2    Reinhardt, W.P.3
  • 26
    • 0042495832 scopus 로고    scopus 로고
    • Preprint UICHEP-TH/02-5
    • Khare A and Sukhatme U 2002 A generalization of Landen's quadratic transformation formulas for Jacobi elliptic functions Preprint math-ph/0204054; Reinhardt W, Khare A and Sukhatme U 2002 Comment on 'Linear superposition in nonlinear equations' Preprint UICHEP-TH/02-5; Cayley A 1876 An Elementary Treatise on Elliptic Functions (Cambridge: Cambridge University Press)
    • (2002) Comment on 'Linear Superposition in Nonlinear Equations
    • Reinhardt, W.1    Khare, A.2    Sukhatme, U.3
  • 27
    • 0039636598 scopus 로고
    • Cambridge: Cambridge University Press
    • Khare A and Sukhatme U 2002 A generalization of Landen's quadratic transformation formulas for Jacobi elliptic functions Preprint math-ph/0204054; Reinhardt W, Khare A and Sukhatme U 2002 Comment on 'Linear superposition in nonlinear equations' Preprint UICHEP-TH/02-5; Cayley A 1876 An Elementary Treatise on Elliptic Functions (Cambridge: Cambridge University Press)
    • (1876) An Elementary Treatise on Elliptic Functions
    • Cayley, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.