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Volumn 215, Issue 8, 2009, Pages 3068-3075

Travelling wave solutions of the Fornberg-Whitham equation

Author keywords

Fornberg Whitham equation; Loop soliton solutions; Periodic wave solution; Solitary wave solution

Indexed keywords

ANALYTICAL TECHNOLOGY; BOUNDED TRAVELLING WAVES; CUSP WAVES; FORNBERG-WHITHAM EQUATION; LOOP-SOLITON SOLUTIONS; NUMERICAL SIMULATION; PERIODIC WAVE SOLUTION; PERIODIC WAVES; PHASE PORTRAIT; SOLITARY WAVE; SOLITARY WAVE SOLUTION; SOLITON SOLUTIONS; TRAVELLING WAVE SOLUTION; WHITHAM EQUATIONS;

EID: 70449533663     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2009.09.057     Document Type: Article
Times cited : (32)

References (17)
  • 1
    • 10044227192 scopus 로고    scopus 로고
    • Traveling wave solutions of the Camassa-Holm and Korteweg-de Vries equations
    • Lenells J. Traveling wave solutions of the Camassa-Holm and Korteweg-de Vries equations. J. Nonlinear Math. Phys. 11 (2004) 508-520
    • (2004) J. Nonlinear Math. Phys. , vol.11 , pp. 508-520
    • Lenells, J.1
  • 2
    • 12044254491 scopus 로고
    • An integrable shallow wave equation with peaked solitons
    • Camassa R., and Holm D. An integrable shallow wave equation with peaked solitons. Phys. Rev. Lett. 71 (1993) 1661-1664
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 1661-1664
    • Camassa, R.1    Holm, D.2
  • 3
    • 26844435359 scopus 로고    scopus 로고
    • Traveling wave solutions of the Camassa-Holm equation
    • Lenells J. Traveling wave solutions of the Camassa-Holm equation. J. Diff. Eq. 217 (2005) 393-430
    • (2005) J. Diff. Eq. , vol.217 , pp. 393-430
    • Lenells, J.1
  • 4
    • 2042511649 scopus 로고    scopus 로고
    • Compactons in a general compressible hyperelastic rod
    • Liu Z., and Chen C. Compactons in a general compressible hyperelastic rod. Chaos, Soliton Fract. 22 (2004) 627-640
    • (2004) Chaos, Soliton Fract. , vol.22 , pp. 627-640
    • Liu, Z.1    Chen, C.2
  • 5
    • 2042453651 scopus 로고    scopus 로고
    • New bounded traveling wave solutions of Camassa-Holm equation
    • Liu Z., Li Q., and Lin Q. New bounded traveling wave solutions of Camassa-Holm equation. Int. J. Bifurcation Chaos 14 (2004) 3541-3556
    • (2004) Int. J. Bifurcation Chaos , vol.14 , pp. 3541-3556
    • Liu, Z.1    Li, Q.2    Lin, Q.3
  • 6
    • 29144482893 scopus 로고    scopus 로고
    • Two new types of bounded waves of CH-γ equation
    • Guo B., and Liu Z. Two new types of bounded waves of CH-γ equation. Sci. China, Ser. A. 48 (2005) 1618-1630
    • (2005) Sci. China, Ser. A. , vol.48 , pp. 1618-1630
    • Guo, B.1    Liu, Z.2
  • 7
    • 33947518783 scopus 로고    scopus 로고
    • Four types of bounded wave solutions of CH-γ equation
    • Tang M., and Zhang W. Four types of bounded wave solutions of CH-γ equation. Sci. China, Ser. A. 50 (2007) 132-152
    • (2007) Sci. China, Ser. A. , vol.50 , pp. 132-152
    • Tang, M.1    Zhang, W.2
  • 8
    • 0017901962 scopus 로고
    • A numerical and theoretical study of certain nonlinear wave phenomena
    • Fornberg B., and Whitham G.B. A numerical and theoretical study of certain nonlinear wave phenomena. Philos. Trans. Roy. Soc. Lond. Ser. A. 289 (1978) 373-404
    • (1978) Philos. Trans. Roy. Soc. Lond. Ser. A. , vol.289 , pp. 373-404
    • Fornberg, B.1    Whitham, G.B.2
  • 9
    • 67651019904 scopus 로고    scopus 로고
    • A type of bounded traveling wave solutions for the Fornberg-Whitham equation
    • Zhou J., and Tian L. A type of bounded traveling wave solutions for the Fornberg-Whitham equation. J. Math. Anal. Appl. 346 (2008) 255-261
    • (2008) J. Math. Anal. Appl. , vol.346 , pp. 255-261
    • Zhou, J.1    Tian, L.2
  • 10
    • 70350710420 scopus 로고    scopus 로고
    • Soliton, peakons and periodic cusp wave solutions for the Fornberg-Whitham equation
    • 10.1016/j. nonrwa.2008.11.014
    • Zhou J., and Tian L. Soliton, peakons and periodic cusp wave solutions for the Fornberg-Whitham equation. Nonlinear Anal.: Real World Appl. (2008) 10.1016/j. nonrwa.2008.11.014
    • (2008) Nonlinear Anal.: Real World Appl.
    • Zhou, J.1    Tian, L.2
  • 11
    • 67651056153 scopus 로고    scopus 로고
    • Periodic and solitary wave solutions to the Fornberg-Whitham equation
    • 10.1155/2009/507815
    • Zhou J., and Tian L. Periodic and solitary wave solutions to the Fornberg-Whitham equation. Math. Problem Eng. (2009) 10.1155/2009/507815
    • (2009) Math. Problem Eng.
    • Zhou, J.1    Tian, L.2
  • 12
    • 70449529940 scopus 로고    scopus 로고
    • The classification of single traveling wave solutions to Fornberg-Whitham equation
    • Feng C., and Wu C. The classification of single traveling wave solutions to Fornberg-Whitham equation. Int. J. Nonlinear Sci. 7 (2009) 353-359
    • (2009) Int. J. Nonlinear Sci. , vol.7 , pp. 353-359
    • Feng, C.1    Wu, C.2
  • 13
    • 41849123516 scopus 로고    scopus 로고
    • Some periodic and solitary travelling-wave solutions of the short-pulse equation
    • Parkes E.J. Some periodic and solitary travelling-wave solutions of the short-pulse equation. Chaos, Soliton Fract. 38 (2008) 154-159
    • (2008) Chaos, Soliton Fract. , vol.38 , pp. 154-159
    • Parkes, E.J.1
  • 14
    • 61749102590 scopus 로고    scopus 로고
    • solitary wave solutions and periodic wave solutions for the special CH-DP equation
    • Li J., Zhang Y., solutions E.l., and solutions c. solitary wave solutions and periodic wave solutions for the special CH-DP equation. Nonlinear Anal.: Real World Appl. 10 (2009) 2502-2507
    • (2009) Nonlinear Anal.: Real World Appl. , vol.10 , pp. 2502-2507
    • Li, J.1    Zhang, Y.2    solutions, E.l.3    solutions, c.4
  • 15
    • 0034317577 scopus 로고    scopus 로고
    • Smooth and non-smooth travelling waves in a nonlinearly dispersive equation
    • Li J., and Liu Z. Smooth and non-smooth travelling waves in a nonlinearly dispersive equation. Appl. Math. Model. 25 (2000) 41-56
    • (2000) Appl. Math. Model. , vol.25 , pp. 41-56
    • Li, J.1    Liu, Z.2
  • 17
    • 39449088560 scopus 로고    scopus 로고
    • On a class of singular nonlinear traveling wave equations
    • Li J., and Chen G. On a class of singular nonlinear traveling wave equations. Int. J. Bifurcation Chaos 17 (2007) 4049-4065
    • (2007) Int. J. Bifurcation Chaos , vol.17 , pp. 4049-4065
    • Li, J.1    Chen, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.