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Volumn 217, Issue 2, 2010, Pages 716-724

New explicit solutions for the Klein-Gordon equation with cubic nonlinearity

Author keywords

Energy level; Klein Gordon equation with cubic nonlinearity; New explicit solutions; Qualitative analysis

Indexed keywords

BIFURCATION METHODS; BOUNDED TRAVELLING WAVES; CUBIC NONLINEARITIES; ENERGY LEVEL; EXACT PERIODIC SOLUTIONS; EXPLICIT EXPRESSIONS; EXPLICIT SOLUTIONS; JACOBI ELLIPTIC FUNCTION; KLEIN-GORDON EQUATION; PERIODIC SOLUTION; PERIODIC WAVE SOLUTIONS; QUALITATIVE ANALYSIS; SOLITARY WAVE SOLUTION;

EID: 77955661122     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2010.06.009     Document Type: Article
Times cited : (6)

References (17)
  • 1
    • 36049057587 scopus 로고
    • Method for solving the Korteweg-de Vries equation
    • C.S. Gardner Method for solving the Korteweg-de Vries equation Phys. Rev. Lett. 19 1967 1095 1097
    • (1967) Phys. Rev. Lett. , vol.19 , pp. 1095-1097
    • Gardner, C.S.1
  • 2
    • 35949040541 scopus 로고
    • Exact solution of the KdV equation for multiple collisions of solitons
    • R. Hirota Exact solution of the KdV equation for multiple collisions of solitons Phys. Rev. Lett. 27 1971 1192 1194
    • (1971) Phys. Rev. Lett. , vol.27 , pp. 1192-1194
    • Hirota, R.1
  • 3
    • 0035959436 scopus 로고    scopus 로고
    • A new Bäcklund transformation and multi-soliton solutions to the KdV equation with general variable coefficients
    • M.L. Wang, and Y.M. Wang A new Bäcklund transformation and multi-soliton solutions to the KdV equation with general variable coefficients Phys. Lett. A 287 2001 211 216
    • (2001) Phys. Lett. A , vol.287 , pp. 211-216
    • Wang, M.L.1    Wang, Y.M.2
  • 4
    • 0034693656 scopus 로고    scopus 로고
    • On the coherent structures of the Nizhnik-Novikov-Veselov equation
    • S.Y. Lou On the coherent structures of the Nizhnik-Novikov-Veselov equation Phys. Lett. A 277 2000 94 100
    • (2000) Phys. Lett. A , vol.277 , pp. 94-100
    • Lou, S.Y.1
  • 5
    • 0344062641 scopus 로고    scopus 로고
    • Extension on peaked wave solutions of CH-γ equation
    • M.Y. Wang, and C.X. Yang Extension on peaked wave solutions of CH-γ equation Chaos, Solitons Fract. 20 2004 815 825
    • (2004) Chaos, Solitons Fract. , vol.20 , pp. 815-825
    • Wang, M.Y.1    Yang, C.X.2
  • 6
    • 0036722177 scopus 로고    scopus 로고
    • Bifurcations of travelling wave solutions in generalized Pochhammer-Chree equation
    • J.B. Li, and L.J. Zhang Bifurcations of travelling wave solutions in generalized Pochhammer-Chree equation Chaos, Solitons Fract. 14 2002 581 593
    • (2002) Chaos, Solitons Fract. , vol.14 , pp. 581-593
    • Li, J.B.1    Zhang, L.J.2
  • 7
    • 0036502719 scopus 로고    scopus 로고
    • Peakons of the Camassa-Holm equation
    • Z.R. Liu, and T.F. Qian Peakons of the Camassa-Holm equation Appl. Math. Model. 26 2002 473 480
    • (2002) Appl. Math. Model. , vol.26 , pp. 473-480
    • Liu, Z.R.1    Qian, T.F.2
  • 8
    • 55649123874 scopus 로고    scopus 로고
    • Qualitative analysis and travelling wave solutions for the generalized Pochhammer-Chree equation with a dissipation term
    • Y. Zhao, and W.G. Zhang Qualitative analysis and travelling wave solutions for the generalized Pochhammer-Chree equation with a dissipation term Stud. Appl. Math. 121 2008 369 394
    • (2008) Stud. Appl. Math. , vol.121 , pp. 369-394
    • Zhao, Y.1    Zhang, W.G.2
  • 10
    • 53149127299 scopus 로고    scopus 로고
    • New exact travelling wave solutions for the nonlinear Klein-Gordon equation
    • Z.Y. Zhang New exact travelling wave solutions for the nonlinear Klein-Gordon equation Turk. J. Phys. 32 2008 235 240
    • (2008) Turk. J. Phys. , vol.32 , pp. 235-240
    • Zhang, Z.Y.1
  • 11
    • 17944367866 scopus 로고    scopus 로고
    • New exact solutions for nonlinear Klein-Gordon equations
    • Z.X. Han New exact solutions for nonlinear Klein-Gordon equations Acta Phys. Sin. 54 2005 1481 1484 (in Chinese)
    • (2005) Acta Phys. Sin. , vol.54 , pp. 1481-1484
    • Han, Z.X.1
  • 12
    • 27744509855 scopus 로고    scopus 로고
    • Compactons, solitons and periodic solutions for some forms of Klein-Gordon equations
    • A.M. Wazwaz Compactons, solitons and periodic solutions for some forms of Klein-Gordon equations Chaos, Solitons Fract. 28 2006 1005 1013
    • (2006) Chaos, Solitons Fract. , vol.28 , pp. 1005-1013
    • Wazwaz, A.M.1
  • 13
    • 33847035933 scopus 로고    scopus 로고
    • Exact travelling wave solutions for four forms of nonlinear Klein-Gordon equations
    • R.J. Sirendao Exact travelling wave solutions for four forms of nonlinear Klein-Gordon equations Phys. Lett. A. 303 2007 440 447
    • (2007) Phys. Lett. A. , vol.303 , pp. 440-447
    • Sirendao, R.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.