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Volumn 12, Issue 5, 2011, Pages 2822-2825

A one-soliton solution of the ZK(m,n,k) equation with generalized evolution and time-dependent coefficients

Author keywords

Solitary wave ansatz method; Soliton solution; Variable coefficient ZK(m,n,k) equation

Indexed keywords

ANSATZ METHOD; COLD IONS; CONSTRAINT RELATIONS; EXACT SOLUTION; ISOTHERMAL ELECTRONS; LINEAR ATTENUATION; NONLINEAR DISPERSION; NONLINEAR DISPERSIVE; NONLINEAR TERMS; SOLITARY WAVE; SOLITON SOLUTION; SPECIAL FORMS; TIME-DEPENDENT; TIME-DEPENDENT COEFFICIENTS; VARIABLE-COEFFICIENT ZK(M,N,K) EQUATION; VARYING MODELS;

EID: 79957900393     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2011.04.008     Document Type: Article
Times cited : (18)

References (20)
  • 2
    • 0002421661 scopus 로고    scopus 로고
    • Dark solitary waves in the nonlinear Schrdinger equation with third order dispersion, self-steepening, and self-frequency shift
    • S.L. Palacios, A. Guinea, J.M. Fernandez-Diaz, and R.D. Crespo Dark solitary waves in the nonlinear Schrdinger equation with third order dispersion, self-steepening, and self-frequency shift Phys. Rev. E 60 1 1999 R45 R47
    • (1999) Phys. Rev. e , vol.60 , Issue.1
    • Palacios, S.L.1    Guinea, A.2    Fernandez-Diaz, J.M.3    Crespo, R.D.4
  • 3
    • 0029185175 scopus 로고
    • A novel approach to solving the nonlinear Schrdinger equation by the coupled amplitudephase formulation
    • Min Du, Andrew K. Chan, and Charles K. Chui A novel approach to solving the nonlinear Schrdinger equation by the coupled amplitudephase formulation IEEE J. Quantum Electron. 31 1 1995 177 182
    • (1995) IEEE J. Quantum Electron. , vol.31 , Issue.1 , pp. 177-182
    • Du, M.1    Chan, A.K.2    Chui, C.K.3
  • 4
    • 0001229736 scopus 로고
    • Solitary wave solutions of nonlinear wave equations
    • W. Malfliet Solitary wave solutions of nonlinear wave equations Amer. J. Phys. 60 1992 650 654
    • (1992) Amer. J. Phys. , vol.60 , pp. 650-654
    • Malfliet, W.1
  • 6
    • 77952393817 scopus 로고    scopus 로고
    • Integrable (2+1)-dimensional and (3+1)-dimensional breaking soliton equations
    • A.M. Wazwaz Integrable (2 + 1 ) -dimensional and (3 + 1 ) -dimensional breaking soliton equations Phys. Scr. 81 2010 035005 5pp
    • (2010) Phys. Scr. , vol.81 , pp. 035005
    • Wazwaz, A.M.1
  • 7
    • 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
    • Xiangzheng Li, and Mingliang Wang A sub-ODE method for finding exact solutions of a generalized KdVmKdV 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
  • 8
    • 67649213967 scopus 로고    scopus 로고
    • Sub-ODE method and soliton solutions for the variable-coefficient mKdV equation
    • H. Triki, and A.M. Wazwaz 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
  • 9
    • 60849089602 scopus 로고    scopus 로고
    • 1-soliton solution of the B(m,n) equation with generalized evolution
    • Anjan 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
  • 10
    • 72149099339 scopus 로고    scopus 로고
    • Bright and dark solitons of the generalized nonlinear Schrdinger's equation
    • Anjan Biswas, and Daniela Milovic Bright and dark solitons of the generalized nonlinear Schrdinger'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
  • 11
    • 74249103762 scopus 로고    scopus 로고
    • Dark optical solitons in power law media with time-dependent coefficients
    • Manirupa Saha, Amarendra K. Sarma, and Anjan 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
  • 12
    • 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
  • 13
    • 50049125795 scopus 로고    scopus 로고
    • 1-soliton solution of (1+2) dimensional nonlinear Schrdinger's equation in dual-power law media
    • Anjan Biswas 1-soliton solution of (1 + 2 ) dimensional nonlinear Schrdinger'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
  • 14
    • 44249116582 scopus 로고    scopus 로고
    • 1-soliton solution of the K(m,n) equation with generalized evolution
    • Anjan 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
  • 15
    • 56949101097 scopus 로고    scopus 로고
    • Solitary wave solution for the generalized Kawahara equation
    • Anjan 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
  • 16
    • 33751216138 scopus 로고    scopus 로고
    • New solitary wave solutions to the modified Kawahara equation
    • A.M. Wazwaz New solitary wave solutions to the modified Kawahara equation Phys. Lett. A 360 2007 588 592
    • (2007) Phys. Lett. A , vol.360 , pp. 588-592
    • Wazwaz, A.M.1
  • 17
    • 0000888306 scopus 로고    scopus 로고
    • Parametric interaction of dipolar spin wave solitons with localized electromagnetic pumping
    • A.V. Bagada, G.A. Melkov, A.A. Serga, and A.N. Slavin Parametric interaction of dipolar spin wave solitons with localized electromagnetic pumping Phys. Rev. Lett. 79 11 1997 2137 2140 (Pubitemid 127644866)
    • (1997) Physical Review Letters , vol.79 , Issue.11 , pp. 2137-2140
    • Bagada, A.V.1    Melkov, G.A.2    Serga, A.A.3    Slavin, A.N.4
  • 18
    • 56149124076 scopus 로고    scopus 로고
    • A numerical method for solution of the two-dimensional sineGordon equation using the radial basis functions
    • M. Dehghan, and A. Shokri A numerical method for solution of the two-dimensional sineGordon equation using the radial basis functions Math. Comput. Simulation 79 2008 700 715
    • (2008) Math. Comput. Simulation , vol.79 , pp. 700-715
    • Dehghan, M.1    Shokri, A.2
  • 19
    • 77950984881 scopus 로고    scopus 로고
    • N-soliton solutions, Bcklund transformation and Lax pair for a generalized variable-coefficient fifth-order KortewegDe Vries equation
    • Xian Yu, Yi-Tian Gao, Zhi-Yuan Sun, and Ying Liu N-soliton solutions, Bcklund transformation and Lax pair for a generalized variable-coefficient fifth-order KortewegDe Vries equation Phys. Scr. 81 2010 045402 6pp
    • (2010) Phys. Scr. , vol.81 , pp. 045402
    • Yu, X.1    Gao, Y.-T.2    Sun, Z.-Y.3    Liu, Y.4
  • 20
    • 41149140825 scopus 로고    scopus 로고
    • Homotopy perturbation method and variational iteration method for solving ZakharovKuznetsov equation
    • B. Ganjavi, H. Mohammadi, D.D. Ganji, and A. Barani Homotopy perturbation method and variational iteration method for solving ZakharovKuznetsov equation Amer. J. Appl. Sci. 5 7 2008 811 817
    • (2008) Amer. J. Appl. Sci. , vol.5 , Issue.7 , pp. 811-817
    • Ganjavi, B.1    Mohammadi, H.2    Ganji, D.D.3    Barani, A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.