메뉴 건너뛰기




Volumn 10, Issue 4, 2009, Pages 2502-2507

Exact loop solutions, cusp solutions, solitary wave solutions and periodic wave solutions for the special CH-DP equation

Author keywords

Breaking wave solution; CH DP equation; Periodic wave solution; Smoothness of wave; Solitary wave solution

Indexed keywords

DYNAMIC POSITIONING; DYNAMICAL SYSTEMS; LIQUID WAVES; PERCOLATION (SOLID STATE); WAVES;

EID: 61749102590     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2008.05.006     Document Type: Article
Times cited : (36)

References (14)
  • 1
    • 12044254491 scopus 로고
    • An integrable shallow water equation with peaked solitons
    • Camassa R., and Holm D.D. An integrable shallow water 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.D.2
  • 2
    • 40749103220 scopus 로고    scopus 로고
    • An integrable shallow water equation with linear and nonlinear dispersion
    • Dullin H.R., Gottwald G.A., and Holm D.D. An integrable shallow water equation with linear and nonlinear dispersion. Phys. Rev. Lett. 87 (2001) 194501-194504
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 194501-194504
    • Dullin, H.R.1    Gottwald, G.A.2    Holm, D.D.3
  • 3
    • 0002053850 scopus 로고    scopus 로고
    • Asymptotic integrability
    • Degasperis A., and Gaeta G. (Eds), World Scientific, Singapore
    • Degasperis A., and Procesi M. Asymptotic integrability. In: Degasperis A., and Gaeta G. (Eds). Symmetry and Perturbation Theory (1999), World Scientific, Singapore 23-27
    • (1999) Symmetry and Perturbation Theory , pp. 23-27
    • Degasperis, A.1    Procesi, M.2
  • 4
    • 0036441096 scopus 로고    scopus 로고
    • A new integrable equation with peakon solutions
    • Degasperis A., Holm D.D., and Hone A.N.W. A new integrable equation with peakon solutions. Theoret. Math. Phys. 133 (2002) 1463-1474
    • (2002) Theoret. Math. Phys. , vol.133 , pp. 1463-1474
    • Degasperis, A.1    Holm, D.D.2    Hone, A.N.W.3
  • 5
    • 0037036176 scopus 로고    scopus 로고
    • Perturbative symmetry approach
    • Mikhailov A.V., and Novikov V.S. Perturbative symmetry approach. J. Phys. A 35 (2002) 4775-4790
    • (2002) J. Phys. A , vol.35 , pp. 4775-4790
    • Mikhailov, A.V.1    Novikov, V.S.2
  • 6
    • 37249054268 scopus 로고    scopus 로고
    • Bifurcations of travelling wave solutions for the CH-DP equation
    • 10.1016/j.nonrwa.2006.10.001
    • He B., Li J.B., et al. Bifurcations of travelling wave solutions for the CH-DP equation. Nonlinear Anal.: Real World Appl. (2006) 10.1016/j.nonrwa.2006.10.001
    • (2006) Nonlinear Anal.: Real World Appl.
    • He, B.1    Li, J.B.2
  • 7
    • 0037429710 scopus 로고    scopus 로고
    • Nonlinear balance and exchange of stability in dynamics of solitons,peakons,ramps/cliffs and leftons in a 1+1 nonlinear evolutionary PDE
    • Holm D.D., and Staley M.F. Nonlinear balance and exchange of stability in dynamics of solitons,peakons,ramps/cliffs and leftons in a 1+1 nonlinear evolutionary PDE. Phys. Lett. A 308 (2003) 437-444
    • (2003) Phys. Lett. A , vol.308 , pp. 437-444
    • Holm, D.D.1    Staley, M.F.2
  • 8
    • 4043101891 scopus 로고    scopus 로고
    • Wave structure and nonlinear balances in a family of evolutionary PDEs
    • Holm D.D., and Staley M.F. Wave structure and nonlinear balances in a family of evolutionary PDEs. SIAM J. Appl. Dyn. Syst. 2 (2003) 323-380
    • (2003) SIAM J. Appl. Dyn. Syst. , vol.2 , pp. 323-380
    • Holm, D.D.1    Staley, M.F.2
  • 9
    • 1142304402 scopus 로고    scopus 로고
    • On asymptotically equivalent shallow water wave equations
    • Dullin H.R., Gottwald G.A., and Holm D.D. On asymptotically equivalent shallow water wave equations. Physica D 190 (2004) 1-14
    • (2004) Physica D , vol.190 , pp. 1-14
    • Dullin, H.R.1    Gottwald, G.A.2    Holm, D.D.3
  • 10
    • 34249093329 scopus 로고    scopus 로고
    • A note on solitary waves for modified forms of Camassa-Holm and Degasperis-Procesi equations
    • Liu Z.R., and Ouyang Z.Y. A note on solitary waves for modified forms of Camassa-Holm and Degasperis-Procesi equations. Phys. Lett. A 366 (2007) 377-381
    • (2007) Phys. Lett. A , vol.366 , pp. 377-381
    • Liu, Z.R.1    Ouyang, Z.Y.2
  • 11
    • 33644938250 scopus 로고    scopus 로고
    • Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations
    • Wazwaz A.M. Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations. Phys. Lett. A 352 (2006) 500-504
    • (2006) Phys. Lett. A , vol.352 , pp. 500-504
    • Wazwaz, A.M.1
  • 13
    • 34347230128 scopus 로고    scopus 로고
    • Dynamical understanding of loop soliton solutions for several nonlinear wave equations
    • Li J.B. Dynamical understanding of loop soliton solutions for several nonlinear wave equations. Sci. China Ser. A 50 (2007) 773-785
    • (2007) Sci. China Ser. A , vol.50 , pp. 773-785
    • Li, J.B.1
  • 14
    • 40749083603 scopus 로고    scopus 로고
    • M-shape peakons, dehisced solitons, cuspons and new 1-peak solitons for the Degasperis-Procesi equation
    • 10.1016/j.chao.2006.09.092
    • Qiao Z.J. M-shape peakons, dehisced solitons, cuspons and new 1-peak solitons for the Degasperis-Procesi equation. Chaos, Solitons Fractals (2006) 10.1016/j.chao.2006.09.092
    • (2006) Chaos, Solitons Fractals
    • Qiao, Z.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.