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Volumn 217, Issue 21, 2011, Pages 8846-8851

Dark solitons for a combined potential KdV and Schwarzian KdV equations with t-dependent coefficients and forcing term

Author keywords

Potential KdV equation; Schwarzian KdV equation; Solitary wave ansatz

Indexed keywords

DARK SOLITONS; FORCING TERMS; KDV EQUATIONS; SOLITARY WAVE; TIME-DEPENDENT COEFFICIENTS;

EID: 79956146327     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2011.03.050     Document Type: Article
Times cited : (30)

References (20)
  • 1
    • 0035518099 scopus 로고    scopus 로고
    • Completely integrable models of nonlinear optics
    • Optical Solitons: Theory and Experiments
    • A.I. Maimistov Completely integrable models of nonlinear optics Pramana J. Phys. 57 5-6 2001 953 968 (Pubitemid 34047328)
    • (2001) Pramana - Journal of Physics , vol.57 , Issue.5-6 , pp. 953-968
    • Maimistov, A.I.1
  • 2
    • 0001223067 scopus 로고    scopus 로고
    • Optical solitary waves in the higher order nonlinear Schrödinger equation
    • M. Gedalin, T.C. Scott, and Y.B. Band Optical solitary waves in the higher order nonlinear Schrödinger equation Phys. Rev. Lett. 78 3 1997 448 451 (Pubitemid 127647955)
    • (1997) Physical Review Letters , vol.78 , Issue.3 , pp. 448-451
    • Gedalin, M.1    Scott, T.C.2    Band, Y.B.3
  • 3
    • 77949289626 scopus 로고    scopus 로고
    • Jacobi elliptic function solutions of the generalized Zakharov-Kuznetsov equation with nonlinear dispersion and t-dependent coefficients
    • E. Yomba Jacobi elliptic function solutions of the generalized Zakharov-Kuznetsov equation with nonlinear dispersion and t-dependent coefficients Phys. Lett. A 374 2010 1611 1615
    • (2010) Phys. Lett. A , vol.374 , pp. 1611-1615
    • Yomba, E.1
  • 6
    • 33344463929 scopus 로고    scopus 로고
    • Excitation of bright and dark envelope solitons for magnetostatic waves with attractive nonlinearity
    • M.M. Scott, M.P. Kostylev, B.A. Kalinikos, and C.E. Patton Excitation of bright and dark envelope solitons for magnetostatic waves with attractive nonlinearity Phys. Rev. B 71 174440 2005 1 4
    • (2005) Phys. Rev. B , vol.71 , Issue.174-440 , pp. 1-4
    • Scott, M.M.1    Kostylev, M.P.2    Kalinikos, B.A.3    Patton, C.E.4
  • 8
    • 33751423582 scopus 로고    scopus 로고
    • A sub-ODE method for finding exact solutions of a generalized KdV-mKdV equation with high-order nonlinear terms
    • DOI 10.1016/j.physleta.2006.09.022, PII S0375960106014344
    • X. Li, and M. Wang A sub-ODE method for finding exact solutions of a generalized KdV-mKdV equation with high-order nonlinear terms Phys. Lett. A. 361 2007 115 118 (Pubitemid 44821588)
    • (2007) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.361 , Issue.1-2 , pp. 115-118
    • Li, X.1    Wang, M.2
  • 9
    • 33747335180 scopus 로고    scopus 로고
    • Exact solutions to two higher order nonlinear Schrödinger equations
    • L.-Ping Xu, and J.-Liang Zhang Exact solutions to two higher order nonlinear Schrödinger equations Chaos, Solitons Fractals 31 2007 937 942
    • (2007) Chaos, Solitons Fractals , vol.31 , pp. 937-942
    • Xu L.-Ping1    Zhang J.-Liang2
  • 10
    • 1842864938 scopus 로고    scopus 로고
    • On the solitary wave solutions for nonlinear Hirota-satsuma coupled KdV of equations
    • E.M.E. Zayed, H.A. Zedan, and K.A. Gepreel On the solitary wave solutions for nonlinear Hirota-satsuma coupled KdV of equations Chaos, Solitons Fractals 22 2004 285 303
    • (2004) Chaos, Solitons Fractals , vol.22 , pp. 285-303
    • Zayed, E.M.E.1    Zedan, H.A.2    Gepreel, K.A.3
  • 11
    • 33846877206 scopus 로고    scopus 로고
    • Analytic study for fifth-order KdV-type equations with arbitrary power nonlinearities
    • DOI 10.1016/j.cnsns.2005.10.001, PII S1007570405001474
    • A.-M. Wazwaz Analytic study for fifth-order KdV-type equations with arbitrary power nonlinearities Commun. Nonlinear Sci. Numer. Simul. 12 2007 904 909 (Pubitemid 46223852)
    • (2007) Communications in Nonlinear Science and Numerical Simulation , vol.12 , Issue.6 , pp. 904-909
    • Wazwaz, A.-M.1
  • 12
    • 60849089602 scopus 로고    scopus 로고
    • 1-soliton solution of the B(m,n) equation with generalized evolution
    • A. Biswas 1-soliton solution of the B (m, n ) equation with generalized evolution Commun. Nonlinear Sci. Numer. Simul. 14 2009 3226 3229
    • (2009) Commun. Nonlinear Sci. Numer. Simul. , vol.14 , pp. 3226-3229
    • Biswas, A.1
  • 13
    • 72149099339 scopus 로고    scopus 로고
    • Bright and dark solitons of the generalized nonlinear Schrödinger's equation
    • A. Biswas, and D. Milovic Bright and dark solitons of the generalized nonlinear Schrödinger's equation Commun. Nonlinear Sci. Numer. Simul. 15 2010 1473 1484
    • (2010) Commun. Nonlinear Sci. Numer. Simul. , vol.15 , pp. 1473-1484
    • Biswas, A.1    Milovic, D.2
  • 14
    • 74249103762 scopus 로고    scopus 로고
    • Dark optical solitons in power law media with time-dependent coefficients
    • M. Saha, A.K. Sarma, and A. Biswas Dark optical solitons in power law media with time-dependent coefficients Phys. Lett. A 373 2009 4438 4441
    • (2009) Phys. Lett. A , vol.373 , pp. 4438-4441
    • Saha, M.1    Sarma, A.K.2    Biswas, A.3
  • 15
    • 67349138611 scopus 로고    scopus 로고
    • Bright and dark soliton solutions for a K(m,n) equation with t-dependent coefficients
    • H. Triki, and A.M. Wazwaz 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
  • 16
    • 50049125795 scopus 로고    scopus 로고
    • 1-soliton solution of (1 + 2) dimensional nonlinear Schrödinger's equation in dual-power law media
    • A. Biswas 1-soliton solution of (1 + 2) dimensional nonlinear Schrödinger'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
  • 17
    • 44249116582 scopus 로고    scopus 로고
    • 1-soliton solution of the K(m, n) equation with generalized evolution
    • A. Biswas 1-soliton solution of the K(m, n) equation with generalized evolution Phys. Lett. A 372 2008 4601 4602
    • (2008) Phys. Lett. A , vol.372 , pp. 4601-4602
    • Biswas, A.1
  • 18
    • 56949101097 scopus 로고    scopus 로고
    • Solitary wave solution for the generalized Kawahara equation
    • A. Biswas Solitary wave solution for the generalized Kawahara equation Appl. Math. Lett. 22 2009 208 210
    • (2009) Appl. Math. Lett. , vol.22 , pp. 208-210
    • Biswas, A.1
  • 19
    • 77957295894 scopus 로고    scopus 로고
    • A study on KdV and Gardner equations with time-dependent coefficients and forcing terms
    • A.M. Wazwaz A study on KdV and Gardner equations with time-dependent coefficients and forcing terms Appl. Math. Comput. 217 2010 2277 2281
    • (2010) Appl. Math. Comput. , vol.217 , pp. 2277-2281
    • Wazwaz, A.M.1
  • 20
    • 70449525198 scopus 로고    scopus 로고
    • New exact kink solutions solitons and periodic form solutions for a combined KdV and Schwarzian KdV equation
    • Z. Li New exact kink solutions solitons and periodic form solutions for a combined KdV and Schwarzian KdV equation Appl. Math. Comput. 215 2009 2886 2890
    • (2009) Appl. Math. Comput. , vol.215 , pp. 2886-2890
    • Li, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.