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Volumn 216, Issue 1, 2010, Pages 332-336

Multiple soliton solutions for the sixth-order Ramani equation and a coupled Ramani equation

Author keywords

Hirota bilinear method; Multiple singular soliton solutions; Multiple soliton solutions; Ramani equation

Indexed keywords

BILINEAR METHOD; HIROTA BILINEAR METHODS; MULTIPLE-SOLITON SOLUTIONS; SINGULAR SOLITON SOLUTIONS; TWO EQUATION;

EID: 76749088423     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2010.01.067     Document Type: Article
Times cited : (22)

References (30)
  • 1
    • 0002195422 scopus 로고
    • Inverse scattering, ordinary differential equations of Painlevé type and Hirota's bilinear formalism
    • Ramani A. Inverse scattering, ordinary differential equations of Painlevé type and Hirota's bilinear formalism. Ann. N. Y. Acad. Sci. 373 (1981) 54-67
    • (1981) Ann. N. Y. Acad. Sci. , vol.373 , pp. 54-67
    • Ramani, A.1
  • 3
    • 31144475317 scopus 로고    scopus 로고
    • Soliton solutions of a coupled Ramani equation
    • Zhao J.-X., and Tam H.-W. Soliton solutions of a coupled Ramani equation. Appl. Math. Lett. 19 (2006) 307-313
    • (2006) Appl. Math. Lett. , vol.19 , pp. 307-313
    • Zhao, J.-X.1    Tam, H.-W.2
  • 4
    • 0039838914 scopus 로고    scopus 로고
    • Lax pairs and Bäcklund transformations for a coupled Ramani equation and its related system
    • Hu X.-B., and Wang D.-L. Lax pairs and Bäcklund transformations for a coupled Ramani equation and its related system. Appl. Math. Lett. 13 (2000) 45-48
    • (2000) Appl. Math. Lett. , vol.13 , pp. 45-48
    • Hu, X.-B.1    Wang, D.-L.2
  • 5
    • 40849102777 scopus 로고    scopus 로고
    • KdV6: An integrable system
    • Kupershmidt B. KdV6: An integrable system. Phys. lett. A 372 (2008) 2634-2639
    • (2008) Phys. lett. A , vol.372 , pp. 2634-2639
    • Kupershmidt, B.1
  • 6
    • 0000293426 scopus 로고
    • Resonance of solitons in one dimension
    • Hirota R., and Ito M. Resonance of solitons in one dimension. J. Phys. Soc. Jpn. 52 3 (1983) 744-748
    • (1983) J. Phys. Soc. Jpn. , vol.52 , Issue.3 , pp. 744-748
    • Hirota, R.1    Ito, M.2
  • 7
    • 0000531288 scopus 로고
    • An extension of nonlinear evolution equations of the K-dV (mK-dV) type to higher order
    • Ito M. An extension of nonlinear evolution equations of the K-dV (mK-dV) type to higher order. J. Phys. Soc. Jpn. 49 2 (1980) 771-778
    • (1980) J. Phys. Soc. Jpn. , vol.49 , Issue.2 , pp. 771-778
    • Ito, M.1
  • 8
    • 56249128025 scopus 로고
    • N-soliton solutions of model equations for shallow water waves
    • Hirota R., and Satsuma J. N-soliton solutions of model equations for shallow water waves. J. Phys. Soc. Jpn. 40 2 (1976) 611-612
    • (1976) J. Phys. Soc. Jpn. , vol.40 , Issue.2 , pp. 611-612
    • Hirota, R.1    Satsuma, J.2
  • 9
    • 0001247353 scopus 로고
    • A new form of Bäcklund transformations and its relation to the inverse scattering problem
    • Hirota R. A new form of Bäcklund transformations and its relation to the inverse scattering problem. Prog. Theor. Phys. 52 5 (1974) 1498-1512
    • (1974) Prog. Theor. Phys. , vol.52 , Issue.5 , pp. 1498-1512
    • Hirota, R.1
  • 11
    • 35949040541 scopus 로고
    • Exact solutions of the Korteweg-de Vries equation for multiple collisions of solitons
    • Hirota R. Exact solutions of the Korteweg-de Vries equation for multiple collisions of solitons. Phys. Rev. Lett. 27 18 (1971) 1192-1194
    • (1971) Phys. Rev. Lett. , vol.27 , Issue.18 , pp. 1192-1194
    • Hirota, R.1
  • 14
    • 63449124469 scopus 로고    scopus 로고
    • Solitary wave solutions for the generalized KdV equation with time-dependent damping and dispersion
    • Biswas A. Solitary wave solutions for the generalized KdV equation with time-dependent damping and dispersion. Comm. Nonl. Sci. Numer. Simulat. 14 (2009) 3503-3506
    • (2009) Comm. Nonl. Sci. Numer. Simulat. , vol.14 , pp. 3503-3506
    • Biswas, A.1
  • 15
    • 50049125795 scopus 로고    scopus 로고
    • 1-soliton solution of (1+2)-dimensional nonlinear Schrodinger's equation in dual-power law media
    • Biswas A. 1-soliton solution of (1+2)-dimensional nonlinear Schrodinger's equation in dual-power law media. Phys. Lett. A 372 (2008) 5941-5943
    • (2008) Phys. Lett. A , vol.372 , pp. 5941-5943
    • Biswas, A.1
  • 16
    • 33749559910 scopus 로고    scopus 로고
    • The one dimensional heat equation subject to a boundary integral specification
    • Dehghan M. The one dimensional heat equation subject to a boundary integral specification. Chaos, Soliton Fractals 32 (2007) 661-675
    • (2007) Chaos, Soliton Fractals , vol.32 , pp. 661-675
    • Dehghan, M.1
  • 17
    • 56149124076 scopus 로고    scopus 로고
    • A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
    • Dehghan M., and Shokri A. A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions. Comput. Math. Simul. 79 (2008) 700-715
    • (2008) Comput. Math. Simul. , vol.79 , pp. 700-715
    • Dehghan, M.1    Shokri, A.2
  • 18
    • 67649213967 scopus 로고    scopus 로고
    • Sub-ODE method and soliton solutions for the variable-coefficient mKdV equation
    • Triki H., and Wazwaz A.M. Sub-ODE method and soliton solutions for the variable-coefficient mKdV equation. Appl. Math. Comput. 214 (2009) 370-373
    • (2009) Appl. Math. Comput. , vol.214 , pp. 370-373
    • Triki, H.1    Wazwaz, A.M.2
  • 19
    • 67349138611 scopus 로고    scopus 로고
    • Bright and dark soliton solutions for a K (m, n) equation with t-dependent coefficients
    • Triki H., and Wazwaz A.M. Bright and dark soliton solutions for a K (m, n) equation with t-dependent coefficients. Phys. Lett. A 373 (2009) 2162-2165
    • (2009) Phys. Lett. A , vol.373 , pp. 2162-2165
    • Triki, H.1    Wazwaz, A.M.2
  • 22
    • 34249786250 scopus 로고    scopus 로고
    • Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method
    • Wazwaz A.M. Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method. Appl. Math. Comput. 190 (2007) 633-640
    • (2007) Appl. Math. Comput. , vol.190 , pp. 633-640
    • Wazwaz, A.M.1
  • 23
    • 34250643151 scopus 로고    scopus 로고
    • Multiple-front solutions for the Burgers equation and the coupled Burgers equations
    • Wazwaz A.M. Multiple-front solutions for the Burgers equation and the coupled Burgers equations. Appl. Math. Comput. 190 (2007) 1198-1206
    • (2007) Appl. Math. Comput. , vol.190 , pp. 1198-1206
    • Wazwaz, A.M.1
  • 24
    • 34249735366 scopus 로고    scopus 로고
    • New solitons and kink solutions for the Gardner equation
    • Wazwaz A.M. New solitons and kink solutions for the Gardner equation. Commun. Nonlinear Sci. Numer. Simul. 12 8 (2007) 1395-1404
    • (2007) Commun. Nonlinear Sci. Numer. Simul. , vol.12 , Issue.8 , pp. 1395-1404
    • Wazwaz, A.M.1
  • 25
    • 34548823237 scopus 로고    scopus 로고
    • Multiple-soliton solutions for the Boussinesq equation
    • Wazwaz A.M. Multiple-soliton solutions for the Boussinesq equation. Appl. Math. Comput. 192 (2007) 479-486
    • (2007) Appl. Math. Comput. , vol.192 , pp. 479-486
    • Wazwaz, A.M.1
  • 26
    • 41949134292 scopus 로고    scopus 로고
    • The Hirota's direct method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Ito seventh-order equation
    • Wazwaz A.M. The Hirota's direct method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Ito seventh-order equation. Appl. Math. Comput. 199 1 (2008) 133-138
    • (2008) Appl. Math. Comput. , vol.199 , Issue.1 , pp. 133-138
    • Wazwaz, A.M.1
  • 27
    • 43049165451 scopus 로고    scopus 로고
    • Multiple-front solutions for the Burgers-Kadomtsev-Petvisahvili equation
    • Wazwaz A.M. Multiple-front solutions for the Burgers-Kadomtsev-Petvisahvili equation. Appl. Math. Comput. 200 (2008) 437-443
    • (2008) Appl. Math. Comput. , vol.200 , pp. 437-443
    • Wazwaz, A.M.1
  • 28
    • 44649142146 scopus 로고    scopus 로고
    • Multiple-soliton solutions for the Lax-Kadomtsev-Petvisahvili (Lax-KP) equation
    • Wazwaz A.M. Multiple-soliton solutions for the Lax-Kadomtsev-Petvisahvili (Lax-KP) equation. Appl. Math. Comput. 201 1/2 (2008) 168-174
    • (2008) Appl. Math. Comput. , vol.201 , Issue.1-2 , pp. 168-174
    • Wazwaz, A.M.1
  • 29
    • 44649165713 scopus 로고    scopus 로고
    • The Hirota's direct method for multiple-soliton solutions for three model equations of shallow water waves
    • Wazwaz A.M. The Hirota's direct method for multiple-soliton solutions for three model equations of shallow water waves. Appl. Math. Comput. 201 1/2 (2008) 489-503
    • (2008) Appl. Math. Comput. , vol.201 , Issue.1-2 , pp. 489-503
    • Wazwaz, A.M.1
  • 30
    • 44649179317 scopus 로고    scopus 로고
    • Multiple-soliton solutions of two extended model equations for shallow water waves
    • Wazwaz A.M. Multiple-soliton solutions of two extended model equations for shallow water waves. Appl. Math. Comput. 201 1/2 (2008) 790-799
    • (2008) Appl. Math. Comput. , vol.201 , Issue.1-2 , pp. 790-799
    • Wazwaz, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.