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Volumn 17, Issue 11, 2007, Pages 4049-4065

On a class of singular nonlinear traveling wave equations

Author keywords

Bifurcation; Breaking wave; Kink wave; Nonlinear wave equation; Periodic wave; Singular reaction diffusion equation; Solitary wave

Indexed keywords

BIFURCATION (MATHEMATICS); DYNAMICAL SYSTEMS; SOLITONS; WAVE EQUATIONS;

EID: 39449088560     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127407019858     Document Type: Article
Times cited : (174)

References (23)
  • 1
    • 0037411688 scopus 로고    scopus 로고
    • Exact solutions for a new class of nonlinear evolution equations with nonlinear term of any order
    • Chen, Y., Li, B. & Zhang, H. Q. [2003] "Exact solutions for a new class of nonlinear evolution equations with nonlinear term of any order," Chaos Solit. Fract. 17, 675-683.
    • (2003) Chaos Solit. Fract , vol.17 , pp. 675-683
    • Chen, Y.1    Li, B.2    Zhang, H.Q.3
  • 6
    • 0034317577 scopus 로고    scopus 로고
    • Smooth and non-smooth travelling waves in a nonlinearly dispersive equation
    • Li, J. B. & Liu, Z. R. [2000] "Smooth and non-smooth travelling waves in a nonlinearly dispersive equation," Appl. Math. Model. 25, 41-56.
    • (2000) Appl. Math. Model , vol.25 , pp. 41-56
    • Li, J.B.1    Liu, Z.R.2
  • 7
    • 0036033675 scopus 로고    scopus 로고
    • Travelling wave solutions for a class of nonlinear dispersive equations
    • Li, J. B. & Liu, Z. R. [2002] "Travelling wave solutions for a class of nonlinear dispersive equations," Chin. Ann. Math. B 23, 397-418.
    • (2002) Chin. Ann. Math. B , vol.23 , pp. 397-418
    • Li, J.B.1    Liu, Z.R.2
  • 8
    • 33644694388 scopus 로고    scopus 로고
    • Bifurcations of travelling wave solutions for four classes of nonlinear wave equations
    • Li, J. B. & Chen, G. R. [2005] "Bifurcations of travelling wave solutions for four classes of nonlinear wave equations," Int. J. Bifurcation and Chaos 12, 3973-3998.
    • (2005) Int. J. Bifurcation and Chaos , vol.12 , pp. 3973-3998
    • Li, J.B.1    Chen, G.R.2
  • 9
    • 2942657000 scopus 로고    scopus 로고
    • Stability of peakons for the generalized Camassa-Holm equation
    • Lopes, O. [2002] "Stability of peakons for the generalized Camassa-Holm equation," Electron. J. Diff. Eqs. 5, 1-12.
    • (2002) Electron. J. Diff. Eqs , vol.5 , pp. 1-12
    • Lopes, O.1
  • 10
    • 30244508998 scopus 로고
    • Sharp profiles in degenerate and doubly degenerate Fisher-KPP equations
    • Malaguti, L. & Marcelli, C. [1995] "Sharp profiles in degenerate and doubly degenerate Fisher-KPP equations," J. Diff. Eqs. 117, 281-319.
    • (1995) J. Diff. Eqs , vol.117 , pp. 281-319
    • Malaguti, L.1    Marcelli, C.2
  • 14
    • 12044253199 scopus 로고
    • Compactons: Solitons with finite wavelength
    • Rosenau, P. & Hyman, J. M. [1993] "Compactons: Solitons with finite wavelength," Phys. Rev. Lett. 70, 564-567.
    • (1993) Phys. Rev. Lett , vol.70 , pp. 564-567
    • Rosenau, P.1    Hyman, J.M.2
  • 15
    • 12044249264 scopus 로고
    • Nonlinear dispersion and compact structures
    • Rosenau, P. [1994] "Nonlinear dispersion and compact structures," Phys. Rev. Lett. 73, 737-741.
    • (1994) Phys. Rev. Lett , vol.73 , pp. 737-741
    • Rosenau, P.1
  • 16
    • 0041439271 scopus 로고    scopus 로고
    • On nonanalytic solitary waves formed by a nonlinear dispersion
    • Rosenau, P. [1997] "On nonanalytic solitary waves formed by a nonlinear dispersion," Phys. Lett. A 230, 305-318.
    • (1997) Phys. Lett. A , vol.230 , pp. 305-318
    • Rosenau, P.1
  • 17
    • 11544262885 scopus 로고    scopus 로고
    • On a class of nonlinear dispertive-dissipative interactions
    • Rosenau, R. [1998] "On a class of nonlinear dispertive-dissipative interactions," Physica D 123, 525-546.
    • (1998) Physica D , vol.123 , pp. 525-546
    • Rosenau, R.1
  • 18
    • 0034626343 scopus 로고    scopus 로고
    • Compact and noncompact dispersive structures
    • Rosenau, P. [2000] "Compact and noncompact dispersive structures," Phys. Lett. A 275, 193-203.
    • (2000) Phys. Lett. A , vol.275 , pp. 193-203
    • Rosenau, P.1
  • 19
    • 39449085088 scopus 로고    scopus 로고
    • Travelling wave phenomena in some degenerate reaction-diffusion equations
    • Sanchez-Gaeduno, F. & Maini, P. K. [2003] "Travelling wave phenomena in some degenerate reaction-diffusion equations," J. Diff. Eqs. 195, 471-496.
    • (2003) J. Diff. Eqs , vol.195 , pp. 471-496
    • Sanchez-Gaeduno, F.1    Maini, P.K.2
  • 21
    • 0036526003 scopus 로고    scopus 로고
    • Compactons dispersive structures for variants of the K(n, n) and the KP equations
    • Wazwaz, A. M. [2002] "Compactons dispersive structures for variants of the K(n, n) and the KP equations," Chaos Solit Fract. 13, 1053-1062.
    • (2002) Chaos Solit Fract , vol.13 , pp. 1053-1062
    • Wazwaz, A.M.1
  • 22
    • 0038239685 scopus 로고    scopus 로고
    • Constructing exact solutions for two-dimensional nonlear dispersion Boussinesq equation. II: Solitary pattern solutions
    • Yan, Z. Y. [2003] "Constructing exact solutions for two-dimensional nonlear dispersion Boussinesq equation. II: Solitary pattern solutions," Chaos Solit Fract. 18, 869-880.
    • (2003) Chaos Solit Fract , vol.18 , pp. 869-880
    • Yan, Z.Y.1
  • 23
    • 0036462775 scopus 로고    scopus 로고
    • Explict exact solitary-wave solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order
    • Zhang, W. G., Chang, Q. S. & Jing, B. Q. [2002], "Explict exact solitary-wave solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order," Chaos Solit Fract. 13, 311-319.
    • (2002) Chaos Solit Fract , vol.13 , pp. 311-319
    • Zhang, W.G.1    Chang, Q.S.2    Jing, B.Q.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.