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Volumn 218, Issue 13, 2012, Pages 7174-7183

Hirota bilinear equations with linear subspaces of solutions

Author keywords

Exponential wave solution; Hirota's bilinear form; Linear subspace of solutions

Indexed keywords

BILINEAR EQUATIONS; BILINEAR FORM; LINEAR SUBSPACE; MULTIVARIATE POLYNOMIAL; PARAMETERIZATIONS; TRAVELING WAVE SOLUTION; WAVE NUMBERS; WAVE SOLUTION;

EID: 84862777329     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2011.12.085     Document Type: Article
Times cited : (172)

References (20)
  • 2
    • 78149402626 scopus 로고    scopus 로고
    • A multiple exp-function method for nonlinear differential equations and its application
    • W.X. Ma, T.W. Huang, and Y. Zhang A multiple exp-function method for nonlinear differential equations and its application Phys. Scr. 82 2010 065003
    • (2010) Phys. Scr. , vol.82 , pp. 065003
    • Ma, W.X.1    Huang, T.W.2    Zhang, Y.3
  • 3
    • 79651474215 scopus 로고    scopus 로고
    • Linear superposition principle applying to Hirota bilinear equations
    • W.X. Ma, and E.G. Fan Linear superposition principle applying to Hirota bilinear equations Comput. Math. Appl. 61 2011 950 959
    • (2011) Comput. Math. Appl. , vol.61 , pp. 950-959
    • Ma, W.X.1    Fan, E.G.2
  • 4
    • 0001247353 scopus 로고
    • A new form of Bäcklund transformations and its relation to the inverse scattering problem
    • R. Hirota A new form of Bäcklund transformations and its relation to the inverse scattering problem Prog. Theor. Phys. 52 1974 1498 1512
    • (1974) Prog. Theor. Phys. , vol.52 , pp. 1498-1512
    • Hirota, R.1
  • 5
    • 78650257685 scopus 로고    scopus 로고
    • Hirota's bilinear method and soliton solutions
    • J. Hietarinta Hirota's bilinear method and soliton solutions Phys. AUC 15 part 1 2005 31 37
    • (2005) Phys. AUC , vol.15 , Issue.PART 1 , pp. 31-37
    • Hietarinta, J.1
  • 6
    • 18144382273 scopus 로고    scopus 로고
    • Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
    • DOI 10.1090/S0002-9947-04-03726-2, PII S0002994704037262
    • W.X. Ma, and Y. You Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions Trans. Am. Math. Soc. 357 2005 1753 1778 (Pubitemid 40622693)
    • (2005) Transactions of the American Mathematical Society , vol.357 , Issue.5 , pp. 1753-1778
    • Ma, W.-X.1    You, Y.2
  • 7
    • 63449113626 scopus 로고    scopus 로고
    • A second Wronskian formulation of the Boussinesq equation
    • W.X. Ma, C.X. Li, and J.S. He A second Wronskian formulation of the Boussinesq equation Nonlinear Anal. 70 2009 4245 4258
    • (2009) Nonlinear Anal. , vol.70 , pp. 4245-4258
    • Ma, W.X.1    Li, C.X.2    He, J.S.3
  • 8
    • 77949791263 scopus 로고    scopus 로고
    • Soliton resonance of the NI-BKP equation
    • W.X. Ma, X.B. Hu, Q.P. Liu, AIPCP American Institute of Physics Melville, NY
    • Y. Zhang, and J.J. Yan Soliton resonance of the NI-BKP equation W.X. Ma, X.B. Hu, Q.P. Liu, Nonlinear and Modern Mathematical Physics AIPCP vol. 1212 2010 American Institute of Physics Melville, NY 231 242
    • (2010) Nonlinear and Modern Mathematical Physics , vol.1212 VOL. , pp. 231-242
    • Zhang, Y.1    Yan, J.J.2
  • 10
    • 68549092614 scopus 로고    scopus 로고
    • Exact one-periodic and two-periodic wave solutions to Hirota bilinear equations in (2 + 1) dimensions
    • W.X. Ma, R.G. Zhou, and L. Gao Exact one-periodic and two-periodic wave solutions to Hirota bilinear equations in (2 + 1) dimensions Mod. Phys. Lett. A 21 2009 1677 1688
    • (2009) Mod. Phys. Lett. A , vol.21 , pp. 1677-1688
    • Ma, W.X.1    Zhou, R.G.2    Gao, L.3
  • 11
    • 68149099819 scopus 로고    scopus 로고
    • Quasi-periodic waves and an asymptotic property for the asymmetrical Nizhnik-Novikov-Veselov equation
    • E.G. Fan Quasi-periodic waves and an asymptotic property for the asymmetrical Nizhnik-Novikov-Veselov equation J. Phys. A: Math. Theor. 42 2009 095206
    • (2009) J. Phys. A: Math. Theor. , vol.42 , pp. 095206
    • Fan, E.G.1
  • 12
    • 0000293426 scopus 로고
    • Resonance of solitons in one dimension
    • R. Hirota, and M. Ito Resonance of solitons in one dimension J. Phys. Soc. Jpn. 52 1983 744 748
    • (1983) J. Phys. Soc. Jpn. , vol.52 , pp. 744-748
    • Hirota, R.1    Ito, M.2
  • 13
    • 0030145528 scopus 로고    scopus 로고
    • Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
    • DOI 10.1016/0020-7462(95)00064-X
    • W.X. Ma, and B. Fuchssteiner Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation Int. J. Non-Linear Mech. 31 1996 329 338 (Pubitemid 126374809)
    • (1996) International Journal of Non-Linear Mechanics , vol.31 , Issue.3 , pp. 329-338
    • Ma, W.X.1    Fuchssteiner, B.2
  • 14
    • 0344440950 scopus 로고    scopus 로고
    • Diversity of exact solutions to a restricted Boiti-Leon-Pempinelli dispersive long-wave system
    • W.X. Ma Diversity of exact solutions to a restricted Boiti-Leon- Pempinelli dispersive long-wave system Phys. Lett. A 319 2003 325 333
    • (2003) Phys. Lett. A , vol.319 , pp. 325-333
    • Ma, W.X.1
  • 16
    • 33846396449 scopus 로고    scopus 로고
    • An algebraic method with computerized symbolic computation for the one-dimensional generalized BBM equation of any order
    • DOI 10.1016/j.chaos.2005.12.022, PII S0960077905012233
    • Y.N. Tang, W. Xu, L. Gao, and J.W. Shen An algebraic method with computerized symbolic computation for the one-dimensional generalized BBM equation of any order Chaos Soliton Fract. 32 2007 1846 1852 (Pubitemid 46136973)
    • (2007) Chaos, Solitons and Fractals , vol.32 , Issue.5 , pp. 1846-1852
    • Tang, Y.1    Xu, W.2    Gao, L.3    Shen, J.4
  • 17
    • 33847070844 scopus 로고    scopus 로고
    • A generalized new auxiliary equation method and its applications to nonlinear partial differential equations
    • S. Zhang, and T.C. Xia A generalized new auxiliary equation method and its applications to nonlinear partial differential equations Phys. Lett. A 363 2007 356 360
    • (2007) Phys. Lett. A , vol.363 , pp. 356-360
    • Zhang, S.1    Xia, T.C.2
  • 18
    • 33847223378 scopus 로고    scopus 로고
    • Integrability
    • A. Scott, Taylor & Francis New York
    • W.X. Ma Integrability A. Scott, Encyclopedia of Nonlinear Science 2005 Taylor & Francis New York 450 453
    • (2005) Encyclopedia of Nonlinear Science , pp. 450-453
    • Ma, W.X.1
  • 19
    • 0002479652 scopus 로고
    • Wronskian structures of solutions for soliton equations: Recent developments in soliton theory
    • R. Hirota, Y. Ohta, and J. Satsuma Wronskian structures of solutions for soliton equations: recent developments in soliton theory Prog. Theor. Phys. Suppl. 94 1988 59 72
    • (1988) Prog. Theor. Phys. Suppl. , vol.94 , pp. 59-72
    • Hirota, R.1    Ohta, Y.2    Satsuma, J.3
  • 20
    • 23244461655 scopus 로고    scopus 로고
    • Commutativity of Pfaffianization and Bäcklund transformations: The KP equation
    • X.B. Hu, and J.X. Zhao Commutativity of Pfaffianization and Bäcklund transformations: the KP equation Inverse Probl. 21 2005 1461 1472
    • (2005) Inverse Probl. , vol.21 , pp. 1461-1472
    • Hu, X.B.1    Zhao, J.X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.