메뉴 건너뛰기




Volumn 110, Issue 2, 2010, Pages 573-587

Lie symmetries, conservation laws and exact solutions for two rod equations

Author keywords

Conservation law; Exact solution; Lie symmetry analysis; Rod equation; Similarity reduction

Indexed keywords

PHYSICAL PROPERTIES;

EID: 79959904320     PISSN: 01678019     EISSN: 15729036     Source Type: Journal    
DOI: 10.1007/s10440-009-9462-0     Document Type: Article
Times cited : (15)

References (15)
  • 1
    • 36049057587 scopus 로고
    • Method for solving the korteweg-de vries equation
    • Gardner, C., et al.: Method for solving the Korteweg-de Vries equation. Phys. Rev. Lett. 19, 1095-1097 (1967)
    • (1967) Phys. Rev. Lett. , vol.19 , pp. 1095-1097
    • Gardner, C.1
  • 3
    • 0001935348 scopus 로고
    • A variety of nonlinear network equations generated from the bäcklund transformation for the tota lattice
    • Hirota, R., Satsuma, J.: A variety of nonlinear network equations generated from the Bäcklund transformation for the Tota lattice. Suppl. Prog. Theor. Phys. 59, 64-100 (1976)
    • (1976) Suppl. Prog. Theor. Phys. , vol.59 , pp. 64-100
    • Hirota, R.1    Satsuma, J.2
  • 4
    • 59049103637 scopus 로고    scopus 로고
    • Exact periodic wave solutions for the hkdv equation
    • doi:10.1016/j.na.2008.03.019
    • Liu, H., Li, J., Chen, F.: Exact periodic wave solutions for the hKdV equation. Nonlinear Anal. (2008). doi:10.1016/j.na.2008.03.019
    • (2008) Nonlinear Anal.
    • Liu, H.1    Li, J.2    Chen, F.3
  • 5
    • 0003345224 scopus 로고
    • Applications of lie groups to differential equations
    • Springer, New York
    • Olver, P.J.: Applications of Lie groups to differential equations. In: Graduate Texts in Mathematics, vol. 107. Springer, New York (1993)
    • (1993) Graduate texts in mathematics , vol.107
    • Olver, P.J.1
  • 7
    • 63349086398 scopus 로고    scopus 로고
    • Lie symmetry analysis and exact explicit solutions for general burgers' equation
    • doi:10.1016/j.cam.2008.06.009
    • Liu, H., Li, J., Zhang, Q.: Lie symmetry analysis and exact explicit solutions for general Burgers' equation. J. Comput. Appl. Math. (2008). doi:10.1016/j.cam.2008.06.009
    • (2008) J. Comput. Appl. Math.
    • Liu, H.1    Li, J.2    Zhang, Q.3
  • 8
    • 77949264977 scopus 로고    scopus 로고
    • Lie symmetry analysis and exact solutions for the extended mkdv equation
    • doi:10.1007/s10440-008-9362-8
    • Liu, H., Li, J.: Lie symmetry analysis and exact solutions for the extended mKdV equation. Acta Appl. Math. (2008). doi:10.1007/s10440-008-9362-8
    • (2008) Acta Appl. Math.
    • Liu, H.1    Li, J.2
  • 9
    • 18944400520 scopus 로고
    • New similarity reductions of the boussinesq equation
    • Clarkson, P., Kruskal, M.: New similarity reductions of the Boussinesq equation. J. Math. Phys. 30(10), 2201-2213 (1989)
    • (1989) J. Math. Phys. , vol.30 , Issue.10 , pp. 2201-2213
    • Clarkson, P.1    Kruskal, M.2
  • 10
    • 0000633220 scopus 로고
    • New similarity reductions for the modified boussinesq equation
    • Clarkson, P.: New similarity reductions for the modified Boussinesq equation. J. Phys. A, Gen. 22, 2355-2367 (1989)
    • (1989) J. Phys. A, Gen. , vol.22 , pp. 2355-2367
    • Clarkson, P.1
  • 11
    • 0033880324 scopus 로고    scopus 로고
    • Solitary waves in a quartic nonlinear elastic rod
    • Duan,W., Zhao, J.: Solitary waves in a quartic nonlinear elastic rod. Chaos, Solitons, Fractals 11, 1265-1267 (2000)
    • (2000) Chaos Solitons Fractals , vol.11 , pp. 1265-1267
    • Duan, W.1    Zhao, J.2
  • 13
    • 0034378632 scopus 로고    scopus 로고
    • Relationship between symmetries and conservation laws
    • Kara, A., Mahomed, F.: Relationship between symmetries and conservation laws. Int. J. Theor. Phys. 39, 23-40 (2000)
    • (2000) Int. J. Theor. Phys. , vol.39 , pp. 23-40
    • Kara, A.1    Mahomed, F.2
  • 14
    • 33646710135 scopus 로고    scopus 로고
    • New conservation laws obtained directly from symmetry action on a known conservation law
    • Bluman, G., et al.: New conservation laws obtained directly from symmetry action on a known conservation law. J. Math. Anal. Appl. 322, 233-250 (2006)
    • (2006) J. Math. Anal. Appl. , vol.322 , pp. 233-250
    • Bluman, G.1
  • 15
    • 62949122761 scopus 로고    scopus 로고
    • The exact analytic solutions of a nonlinear differential iterative equation
    • Liu, H., Li,W.: The exact analytic solutions of a nonlinear differential iterative equation. Nonlinear Anal. 69, 2466-2478 (2008)
    • (2008) Nonlinear Anal. , vol.69 , pp. 2466-2478
    • Liu, H.1    Li, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.