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Volumn 65, Issue 4-5, 2004, Pages 535-545

Exact solutions and invariants of motion for general types of regularized long wave equations

Author keywords

Dispersion; Equal width wave equation; Exact solutions; Invariants of motion; Nonlinearity; Solitary waves

Indexed keywords

APPROXIMATION THEORY; DISPERSION (WAVES); FUNCTIONS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS;

EID: 2342504583     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2004.01.015     Document Type: Conference Paper
Times cited : (21)

References (13)
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    • A.V. Wouwer, P. Saucez, W.E. Schiesser (Eds.), Chapman & Hall/CRC Press, Boca Raton, FL
    • S. Hamdi, J.J. Gottlieb, J.S. Hansen, Numerical solutions of the equal width wave equations using an adaptive method of lines, in: A.V. Wouwer, P. Saucez, W.E. Schiesser (Eds.), Adaptive Method of Lines, Chapman & Hall/CRC Press, Boca Raton, FL, 2001, pp. 65-116.
    • (2001) Adaptive Method of Lines , pp. 65-116
    • Hamdi, S.1    Gottlieb, J.J.2    Hansen, J.S.3
  • 7
    • 2342501963 scopus 로고    scopus 로고
    • S. Hamdi, W.H. Enright, Y. Ouellet, W.E. Schiesser, Exact Solutions of Extended Boussinesq Equations, Kluwer Academic Publishers, Dordrecht, North-Holland, 2004; submitted to the journal Numerical Algorithms.
    • Journal Numerical Algorithms
  • 8
    • 0000106540 scopus 로고
    • Existence and nonexistence of solitary wave solutions to higher-order model evolution equations
    • Kichenassamy S., Olver P.J., Existence and nonexistence of solitary wave solutions to higher-order model evolution equations. SIAM J. Math. Anal. 23:1991;1141-1166.
    • (1991) SIAM J. Math. Anal. , vol.23 , pp. 1141-1166
    • Kichenassamy, S.1    Olver, P.J.2
  • 9
    • 0001524186 scopus 로고
    • On the change of form of long waves advancing in a rectangular canal and a new type of long stationary wave
    • Korteweg D.J., de Vries G., On the change of form of long waves advancing in a rectangular canal and a new type of long stationary wave. Phil. Mag. 39:1895;422-443.
    • (1895) Phil. Mag. , vol.39 , pp. 422-443
    • Korteweg, D.J.1    De Vries, G.2
  • 11
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    • Euler operators and conservation laws of the BBM equations
    • Olver P.J., Euler operators and conservation laws of the BBM equations. Math. Proc. Camb. Phil. Soc. 85:1979;143-159.
    • (1979) Math. Proc. Camb. Phil. Soc. , vol.85 , pp. 143-159
    • Olver, P.J.1
  • 13
    • 0036462775 scopus 로고    scopus 로고
    • Explicit exact solitary-wave solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order
    • Zhang W., Chang Q., Jiang B., Explicit exact solitary-wave solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order. Chaos, Solitons and Fractals. 13:2002;311-319.
    • (2002) Chaos, Solitons and Fractals , vol.13 , pp. 311-319
    • Zhang, W.1    Chang, Q.2    Jiang, B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.