메뉴 건너뛰기




Volumn 202, Issue 2, 2008, Pages 693-699

New exact explicit solutions of the generalized KdV equations

Author keywords

Euler Painlev equations; Generalized KdV equations; Lie group method; Similarity solution

Indexed keywords

FUNCTION EVALUATION;

EID: 48049094800     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2008.03.013     Document Type: Article
Times cited : (19)

References (12)
  • 3
    • 48049089915 scopus 로고    scopus 로고
    • S. Lie, Vorlesungen über Differentialgleichungen mit Bekannten Infinitesimalen Transformationen (Teuber, Leipzig, 1891) reprinted by Cheksea, New York, 1967.
    • S. Lie, Vorlesungen über Differentialgleichungen mit Bekannten Infinitesimalen Transformationen (Teuber, Leipzig, 1891) reprinted by Cheksea, New York, 1967.
  • 4
    • 0036869559 scopus 로고    scopus 로고
    • The application of bifurcation method to a higher-order KdV equation
    • Liu Z., and Yang C. The application of bifurcation method to a higher-order KdV equation. J. Math. Anal. Appl. 275 (2002) 1-12
    • (2002) J. Math. Anal. Appl. , vol.275 , pp. 1-12
    • Liu, Z.1    Yang, C.2
  • 5
    • 33745143554 scopus 로고    scopus 로고
    • Exact linearization and invariant solutions of the generalized burgers equation with linear damping and variable viscosity
    • Mayil Vaganan B., and Senthilkumaran M. Exact linearization and invariant solutions of the generalized burgers equation with linear damping and variable viscosity. Stud. Appl. Math. 119 (2006) 95-108
    • (2006) Stud. Appl. Math. , vol.119 , pp. 95-108
    • Mayil Vaganan, B.1    Senthilkumaran, M.2
  • 6
    • 48249133931 scopus 로고    scopus 로고
    • Kummer function solutions of damped Burgers equations with time-dependent viscosity by exact linearization
    • 10.1016/j.nonrwa.2007.08.001
    • Mayil Vaganan B., and Senthilkumaran M. Kummer function solutions of damped Burgers equations with time-dependent viscosity by exact linearization. Nonlinear Anal.: Real World Appl. (2007) 10.1016/j.nonrwa.2007.08.001
    • (2007) Nonlinear Anal.: Real World Appl.
    • Mayil Vaganan, B.1    Senthilkumaran, M.2
  • 7
    • 36849110505 scopus 로고
    • Korteweg-de Vries equations and generalizations. A remarkable explicit nonlinear transformation
    • Miura R.M. Korteweg-de Vries equations and generalizations. A remarkable explicit nonlinear transformation. J. Math. Phys. 9 (1968) 1202-1204
    • (1968) J. Math. Phys. , vol.9 , pp. 1202-1204
    • Miura, R.M.1
  • 8
    • 36549104088 scopus 로고
    • Auto-Bäcklund transformation, Lax pairs and Painlevé property of a variable coefficient KorteWeg-de Vries equation. I
    • Nirmala N., Vedan M.J., and Baby B.V. Auto-Bäcklund transformation, Lax pairs and Painlevé property of a variable coefficient KorteWeg-de Vries equation. I. J. Math. Phys. 27 (1986) 2640-2646
    • (1986) J. Math. Phys. , vol.27 , pp. 2640-2646
    • Nirmala, N.1    Vedan, M.J.2    Baby, B.V.3
  • 9
    • 0003345224 scopus 로고
    • Applications of Lie Groups to Differential Equations
    • Springer-Verlag, New York
    • Olver P.J. Applications of Lie Groups to Differential Equations. Graduate Texts in Mathematics vol. 107 (1986), Springer-Verlag, New York
    • (1986) Graduate Texts in Mathematics , vol.107
    • Olver, P.J.1
  • 11
    • 33645551196 scopus 로고    scopus 로고
    • Variable coefficient KdV equation and the analytical diagnoses of a dipole blocking life cycle
    • Tang X.-Y., Huang F., and Lou S.-Y. Variable coefficient KdV equation and the analytical diagnoses of a dipole blocking life cycle. Chin. Phys. Lett. 23 (2006) 887-890
    • (2006) Chin. Phys. Lett. , vol.23 , pp. 887-890
    • Tang, X.-Y.1    Huang, F.2    Lou, S.-Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.