메뉴 건너뛰기




Volumn 62, Issue 3, 2008, Pages 389-398

New solitary wave solutions of some nonlinear evolution equations with distinct physical structures

Author keywords

Calogero Bogoyavlenskii Schiff equation; Degasperis Procesi and Camassa Holm equation; exp function method; soliton solutions; traveling wave solutions

Indexed keywords


EID: 62549091925     PISSN: 00344877     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0034-4877(08)80032-8     Document Type: Article
Times cited : (8)

References (31)
  • 1
    • 39749176952 scopus 로고    scopus 로고
    • Solitary wave solutions to the Kuramoto-Sivashinsky equation by means of the homotopy analysis method
    • Abbasbandy S. Solitary wave solutions to the Kuramoto-Sivashinsky equation by means of the homotopy analysis method. Nonlinear Dynam. 52 (2008) 35-40
    • (2008) Nonlinear Dynam. , vol.52 , pp. 35-40
    • Abbasbandy, S.1
  • 2
    • 38949119784 scopus 로고    scopus 로고
    • Exact solutions for nonlinear evolution equations using Exp-function method
    • Bekir A., and Boz A. Exact solutions for nonlinear evolution equations using Exp-function method. Phys. Lett. A 372 (2008) 1619-1625
    • (2008) Phys. Lett. A , vol.372 , pp. 1619-1625
    • Bekir, A.1    Boz, A.2
  • 4
    • 40949138221 scopus 로고    scopus 로고
    • Solitons and periodic solutions for the fifth-order KdV equations with the Exp-function method
    • Chun C. Solitons and periodic solutions for the fifth-order KdV equations with the Exp-function method. Phys. Lett. A 372 (2008) 2760-2766
    • (2008) Phys. Lett. A , vol.372 , pp. 2760-2766
    • Chun, C.1
  • 5
    • 34247125626 scopus 로고    scopus 로고
    • Integration using He's homotopy perturbation method
    • Chun C. Integration using He's homotopy perturbation method. Chaos Solitons Fractals 34 (2007) 1130-1134
    • (2007) Chaos Solitons Fractals , vol.34 , pp. 1130-1134
    • Chun, C.1
  • 6
    • 37549050642 scopus 로고
    • Bi-solitons for a class of non-linear equations with quadratic non-linearity. I
    • Comille H., and Gervois A. Bi-solitons for a class of non-linear equations with quadratic non-linearity. I. Phys. D 6 (1982) 1-28
    • (1982) Phys. D , vol.6 , pp. 1-28
    • Comille, H.1    Gervois, A.2
  • 7
    • 33747348716 scopus 로고    scopus 로고
    • New exact travelling wave solutions using modified extended tanh-function method
    • El-Wakil S.A., and Abdou M.A. New exact travelling wave solutions using modified extended tanh-function method. Chaos Solitons Fractals 31 (2007) 840-852
    • (2007) Chaos Solitons Fractals , vol.31 , pp. 840-852
    • El-Wakil, S.A.1    Abdou, M.A.2
  • 8
    • 10044224813 scopus 로고    scopus 로고
    • Modified extended tanh-function method and its applications to nonlinear equations
    • El-Wakil S.A., El-Labany S.K., Zahran M.A., and Sabry R. Modified extended tanh-function method and its applications to nonlinear equations. Appl. Math. Comput. 161 (2005) 403-412
    • (2005) Appl. Math. Comput. , vol.161 , pp. 403-412
    • El-Wakil, S.A.1    El-Labany, S.K.2    Zahran, M.A.3    Sabry, R.4
  • 9
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method - a kind of non-linear analytical technique, some examples
    • He J.H. Variational iteration method - a kind of non-linear analytical technique, some examples. Int. J Non-linear Mech. 34 (1999) 699-708
    • (1999) Int. J Non-linear Mech. , vol.34 , pp. 699-708
    • He, J.H.1
  • 10
    • 33746584753 scopus 로고    scopus 로고
    • New interpretation of homotopy perturbation method
    • He J.H. New interpretation of homotopy perturbation method. Int. J. Mod. Phys. B 20 (2006) 2561-2568
    • (2006) Int. J. Mod. Phys. B , vol.20 , pp. 2561-2568
    • He, J.H.1
  • 11
    • 17844387391 scopus 로고    scopus 로고
    • Homotopy perturbation method for bifurcation of nonlinear problems
    • He J.H. Homotopy perturbation method for bifurcation of nonlinear problems. Int. J. Nonlinear Sci. Numer. Simul. 6 (2005) 207-209
    • (2005) Int. J. Nonlinear Sci. Numer. Simul. , vol.6 , pp. 207-209
    • He, J.H.1
  • 12
    • 34250668369 scopus 로고    scopus 로고
    • Variational iteration method. Some recent results and new interpretations
    • He J.H. Variational iteration method. Some recent results and new interpretations. J. Comput. Appl. Math. 207 (2007) 3-17
    • (2007) J. Comput. Appl. Math. , vol.207 , pp. 3-17
    • He, J.H.1
  • 13
    • 34250163508 scopus 로고    scopus 로고
    • New periodic solutions for nonlinear evolution equations using Exp-function method
    • He J.H., and Abdou M.A. New periodic solutions for nonlinear evolution equations using Exp-function method. Chaos Solitons Fractals 34 (2007) 1421-1429
    • (2007) Chaos Solitons Fractals , vol.34 , pp. 1421-1429
    • He, J.H.1    Abdou, M.A.2
  • 14
    • 38649132547 scopus 로고    scopus 로고
    • Generalized solitary solution and compacton-like solution of the Jaulent-Miodek equations using the Exp-function method
    • He J.H., and Zhang L.N. Generalized solitary solution and compacton-like solution of the Jaulent-Miodek equations using the Exp-function method. Phys. Lett. A 372 (2008) 1044-1047
    • (2008) Phys. Lett. A , vol.372 , pp. 1044-1047
    • He, J.H.1    Zhang, L.N.2
  • 15
    • 0001068194 scopus 로고
    • Interactions of traveling fronts: An exact solution of a nonlinear diffusion equation
    • Kawahara T., and Tanaka M. Interactions of traveling fronts: An exact solution of a nonlinear diffusion equation. Phys. Lett. A 97 (1983) 311-314
    • (1983) Phys. Lett. A , vol.97 , pp. 311-314
    • Kawahara, T.1    Tanaka, M.2
  • 18
    • 33750559385 scopus 로고    scopus 로고
    • New types of localized coherent structures in the Bogoyavlenskii-Schiff equation
    • Peng Y. New types of localized coherent structures in the Bogoyavlenskii-Schiff equation. Int. J. Theor Phys. 45 9 (2006) 1779-1783
    • (2006) Int. J. Theor Phys. , vol.45 , Issue.9 , pp. 1779-1783
    • Peng, Y.1
  • 19
    • 12744261074 scopus 로고    scopus 로고
    • Exact travelling wave solutions of some nonlinear evolutionary equations
    • Vladimirov V.A., and Kutafina E.V. Exact travelling wave solutions of some nonlinear evolutionary equations. Rep. Math. Phys. 54 (2004) 261-271
    • (2004) Rep. Math. Phys. , vol.54 , pp. 261-271
    • Vladimirov, V.A.1    Kutafina, E.V.2
  • 20
    • 37549010677 scopus 로고    scopus 로고
    • Exact solutions of generalized Burgers equation, describing travelling fronts and their interaction
    • Vladimirov V.A., and Maczka C. Exact solutions of generalized Burgers equation, describing travelling fronts and their interaction. Rep. Math. Phys. 60 (2007) 317-328
    • (2007) Rep. Math. Phys. , vol.60 , pp. 317-328
    • Vladimirov, V.A.1    Maczka, C.2
  • 21
    • 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
  • 22
    • 33947194364 scopus 로고    scopus 로고
    • New solitary wave solutions to the modified forms of Degasperis-Procesi and Camassa-Holm equations
    • Wazwaz A.M. New solitary wave solutions to the modified forms of Degasperis-Procesi and Camassa-Holm equations. Appl Math Comput. 186 (2007) 130-141
    • (2007) Appl Math Comput. , vol.186 , pp. 130-141
    • Wazwaz, A.M.1
  • 23
    • 38049041374 scopus 로고    scopus 로고
    • New solutions of distinct physical structures to high-dimensional nonlinear evolution equations
    • Wazwaz A.M. New solutions of distinct physical structures to high-dimensional nonlinear evolution equations. Appl. Math. Comput. 196 (2008) 363-370
    • (2008) Appl. Math. Comput. , vol.196 , pp. 363-370
    • Wazwaz, A.M.1
  • 24
    • 51549107742 scopus 로고    scopus 로고
    • Multiple-soliton solutions for the Calogero-Bogoyavlenskii-Schiff, Jimbo-Miwa and YTSF equations
    • Wazwaz A.M. Multiple-soliton solutions for the Calogero-Bogoyavlenskii-Schiff, Jimbo-Miwa and YTSF equations. Appl. Math. Comput. 203 (2008) 592-597
    • (2008) Appl. Math. Comput. , vol.203 , pp. 592-597
    • Wazwaz, A.M.1
  • 25
    • 0035452509 scopus 로고    scopus 로고
    • Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method
    • Wazwaz A.M. Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method. Chaos Solitons Fractals 12 (2001) 2283-2293
    • (2001) Chaos Solitons Fractals , vol.12 , pp. 2283-2293
    • Wazwaz, A.M.1
  • 26
    • 41349086633 scopus 로고    scopus 로고
    • New exact solutions for two nonlinear equations
    • Wang Q., and Tang M. New exact solutions for two nonlinear equations. Phys. Lett. A 372 (2008) 2995-3000
    • (2008) Phys. Lett. A , vol.372 , pp. 2995-3000
    • Wang, Q.1    Tang, M.2
  • 27
    • 35648958276 scopus 로고    scopus 로고
    • New exact travelling wave solutions of the generalized zakharov equations
    • Zhang H. New exact travelling wave solutions of the generalized zakharov equations. Rep. Math. Phys. 60 (2007) 97-106
    • (2007) Rep. Math. Phys. , vol.60 , pp. 97-106
    • Zhang, H.1
  • 28
    • 38949156201 scopus 로고    scopus 로고
    • Exp-function method exactly solving a KdV equation with forcing term
    • Zhang S. Exp-function method exactly solving a KdV equation with forcing term. Appl. Math. Comput. 197 (2008) 128-134
    • (2008) Appl. Math. Comput. , vol.197 , pp. 128-134
    • Zhang, S.1
  • 29
    • 41849090442 scopus 로고    scopus 로고
    • Application of Exp-function method to high-dimensional nonlinear evolution equation
    • Zhang S. Application of Exp-function method to high-dimensional nonlinear evolution equation. Chaos Solitons Fractals 38 (2008) 270-276
    • (2008) Chaos Solitons Fractals , vol.38 , pp. 270-276
    • Zhang, S.1
  • 30
    • 34548577315 scopus 로고    scopus 로고
    • Exp-function method for the hybrid-lattice system
    • Zhu S.D. Exp-function method for the hybrid-lattice system. Int. J. Nonlinear Sci. Numer. Simul. 8 (2007) 461-464
    • (2007) Int. J. Nonlinear Sci. Numer. Simul. , vol.8 , pp. 461-464
    • Zhu, S.D.1
  • 31
    • 34548577316 scopus 로고    scopus 로고
    • Exp-function method for the discrete mKdV lattice
    • Zhu S.D. Exp-function method for the discrete mKdV lattice. Int. J. Nonlinear Sci. Numer. Simul. 8 (2007) 465-468
    • (2007) Int. J. Nonlinear Sci. Numer. Simul. , vol.8 , pp. 465-468
    • Zhu, S.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.