메뉴 건너뛰기




Volumn 14, Issue 8, 2009, Pages 3239-3249

Soliton perturbation theory for phi-four model and nonlinear Klein-Gordon equations

Author keywords

Adiabaticity; Integrals of motion; Soliton perturbation

Indexed keywords

CONTROL NONLINEARITIES; EQUATIONS OF MOTION; NONLINEAR EQUATIONS; SOLITONS;

EID: 60849102123     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2008.12.020     Document Type: Article
Times cited : (74)

References (20)
  • 1
    • 41349119783 scopus 로고    scopus 로고
    • Wannier functions analysis of the nonlinear Schrödinger's equation with a periodic potential
    • Alfimov G.L., Kevrekidis P.G., Konotop V.V., and Salerno M. Wannier functions analysis of the nonlinear Schrödinger's equation with a periodic potential. Phys Rev E 66 4 (2002) 046608
    • (2002) Phys Rev E , vol.66 , Issue.4 , pp. 046608
    • Alfimov, G.L.1    Kevrekidis, P.G.2    Konotop, V.V.3    Salerno, M.4
  • 3
    • 50549090832 scopus 로고    scopus 로고
    • Solution of non-linear Klein-Gordon equation with a quadratic non-linear term by Adomian decomposition method
    • Basak K.C., Ray P.C., and Bera R.K. Solution of non-linear Klein-Gordon equation with a quadratic non-linear term by Adomian decomposition method. Commun Nonlin Sci Numer Simul 14 3 (2009) 718-723
    • (2009) Commun Nonlin Sci Numer Simul , vol.14 , Issue.3 , pp. 718-723
    • Basak, K.C.1    Ray, P.C.2    Bera, R.K.3
  • 4
    • 35949023573 scopus 로고
    • Pion form factor and the Klein-Gordon equation
    • Bawin M., and Jaminon M. Pion form factor and the Klein-Gordon equation. Phys Rev C 30 1 (1984) 331-334
    • (1984) Phys Rev C , vol.30 , Issue.1 , pp. 331-334
    • Bawin, M.1    Jaminon, M.2
  • 5
    • 50249112061 scopus 로고    scopus 로고
    • Soliton perturbation theory for the quadratic nonlinear Klein-Gordon equations
    • Biswas A., Zony C., and Zerrad E. Soliton perturbation theory for the quadratic nonlinear Klein-Gordon equations. Appl Math Comput 203 1 (2008) 153-156
    • (2008) Appl Math Comput , vol.203 , Issue.1 , pp. 153-156
    • Biswas, A.1    Zony, C.2    Zerrad, E.3
  • 8
    • 17844405597 scopus 로고    scopus 로고
    • Solution of the Klein-Gordon for exponential scalar and vector potentials
    • Chen G. Solution of the Klein-Gordon for exponential scalar and vector potentials. Phys Lett A 339 3-5 (2005) 300-303
    • (2005) Phys Lett A , vol.339 , Issue.3-5 , pp. 300-303
    • Chen, G.1
  • 9
    • 33644970351 scopus 로고    scopus 로고
    • Exactly solvable potentials of the Klein-Gordon equation with the supersymmetry method
    • Chen G., Chen Z.-d., and Xuan P. Exactly solvable potentials of the Klein-Gordon equation with the supersymmetry method. Phys Lett A 352 4-5 (2006) 317-320
    • (2006) Phys Lett A , vol.352 , Issue.4-5 , pp. 317-320
    • Chen, G.1    Chen, Z.-d.2    Xuan, P.3
  • 10
    • 54449092407 scopus 로고    scopus 로고
    • Exact solutions for the generalized Klein-Gordon equation via a transformation and Exp-function method and comparison with Adomian's method
    • Ebaid A. Exact solutions for the generalized Klein-Gordon equation via a transformation and Exp-function method and comparison with Adomian's method. J Comput Appl Math 223 1 (2009) 278-290
    • (2009) J Comput Appl Math , vol.223 , Issue.1 , pp. 278-290
    • Ebaid, A.1
  • 11
    • 36249009075 scopus 로고    scopus 로고
    • New periodic wave solutions for the shallow water equations and the generalized Klein-Gordon equation
    • Elgarayahi A. New periodic wave solutions for the shallow water equations and the generalized Klein-Gordon equation. Commun Nonlin Sci Numer Simul 13 5 (2008) 877-888
    • (2008) Commun Nonlin Sci Numer Simul , vol.13 , Issue.5 , pp. 877-888
    • Elgarayahi, A.1
  • 12
    • 55549094123 scopus 로고    scopus 로고
    • Perturbation of topological solitons due to sine-Gordon equation and its type
    • Fabian A., Kohl R., and Biswas A. Perturbation of topological solitons due to sine-Gordon equation and its type. Commun Nonlin Sci Numer Simul 14 4 (2009) 1227-1244
    • (2009) Commun Nonlin Sci Numer Simul , vol.14 , Issue.4 , pp. 1227-1244
    • Fabian, A.1    Kohl, R.2    Biswas, A.3
  • 13
    • 17144428827 scopus 로고
    • Hadronic atoms in momentum space
    • Kwon Y.R., and Tabakin F. Hadronic atoms in momentum space. Phys Rev C 18 2 (1978) 932-943
    • (1978) Phys Rev C , vol.18 , Issue.2 , pp. 932-943
    • Kwon, Y.R.1    Tabakin, F.2
  • 14
    • 33947126983 scopus 로고    scopus 로고
    • New compacton and solitary pattern solutions of the nonlinear modified dispersive Klein-Gordon equations
    • Mustafa Inc.
    • Mustafa Inc. New compacton and solitary pattern solutions of the nonlinear modified dispersive Klein-Gordon equations. Chaos Solitons Fract 33 4 (2007) 1275-1284
    • (2007) Chaos Solitons Fract , vol.33 , Issue.4 , pp. 1275-1284
  • 15
    • 44749085644 scopus 로고    scopus 로고
    • Analytical approximations to the l-wave solutions of the Klein-Gordon equation for a second Pöschl-Teller like potential
    • Qiang W.-C., and Dong S.-H. Analytical approximations to the l-wave solutions of the Klein-Gordon equation for a second Pöschl-Teller like potential. Phys Lett A 372 27-28 (2008) 4789-4792
    • (2008) Phys Lett A , vol.372 , Issue.27-28 , pp. 4789-4792
    • Qiang, W.-C.1    Dong, S.-H.2
  • 16
    • 38049112330 scopus 로고    scopus 로고
    • An application of the modified decomposition method for the solution of the coupled Klein-Gordon-Schrödinger equation
    • Ray S.S. An application of the modified decomposition method for the solution of the coupled Klein-Gordon-Schrödinger equation. Commun Nonlin Sci Numer Simul 13 7 (2008) 1311-1317
    • (2008) Commun Nonlin Sci Numer Simul , vol.13 , Issue.7 , pp. 1311-1317
    • Ray, S.S.1
  • 17
    • 0242286702 scopus 로고    scopus 로고
    • The periodic wave solutions for Klein-Gordon-Schrödinger equations
    • Wang M., and Zhou Y. The periodic wave solutions for Klein-Gordon-Schrödinger equations. Phys Lett A 318 1-2 (2003) 84-92
    • (2003) Phys Lett A , vol.318 , Issue.1-2 , pp. 84-92
    • Wang, M.1    Zhou, Y.2
  • 18
    • 23144457561 scopus 로고    scopus 로고
    • Generalized forms of the phi-four equation with compactons, solitons and periodic solutions
    • Wazwaz A.M. Generalized forms of the phi-four equation with compactons, solitons and periodic solutions. Math Comput Simul 69 5-6 (2005) 580-588
    • (2005) Math Comput Simul , vol.69 , Issue.5-6 , pp. 580-588
    • Wazwaz, A.M.1
  • 19
    • 36248992919 scopus 로고    scopus 로고
    • New travelling wave solutions to the Boussinesq and the Klein-Gordon equations
    • Wazwaz A.M. New travelling wave solutions to the Boussinesq and the Klein-Gordon equations. Commun Nonlin Sci Numer Simul 13 5 (2008) 889-901
    • (2008) Commun Nonlin Sci Numer Simul , vol.13 , Issue.5 , pp. 889-901
    • Wazwaz, A.M.1
  • 20
    • 33748310865 scopus 로고    scopus 로고
    • Exact analytical solution of the relativistic Klein-Gordon equation with noncentral equal scalar and vector potential
    • Yasuk F., Durmus A., and Boztosun I. Exact analytical solution of the relativistic Klein-Gordon equation with noncentral equal scalar and vector potential. J Math Phys 47 (2006) 082302
    • (2006) J Math Phys , vol.47 , pp. 082302
    • Yasuk, F.1    Durmus, A.2    Boztosun, I.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.