Application of He's semi-inverse method to the nonlinear Schrodinger equation

被引:80
作者
Ozis, Turgut [1 ]
Yidirim, Ahmet [1 ]
机构
[1] Ege Univ, Fac Sci, Dept Math, TR-35100 Bornova, Turkey
关键词
variational principles; semi-inverse method; Schodinger equation;
D O I
10.1016/j.camwa.2006.12.047
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A variational theory is established for the nonlinear Schrodinger equation using He's semi-inverse method. On the basis of the variational principle obtained, a solitary solution is obtained, which is the same as Debnath's result [L. Debnath, Nonlinear Partial Differential Equations for Scientists and Engineers, Birkhauser, Boston, 1997], confirming the validity of our analysis. The method is straightforward and concise. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1039 / 1042
页数:4
相关论文
共 43 条
[11]   A new perturbation technique which is also valid for large parameters [J].
He, JH .
JOURNAL OF SOUND AND VIBRATION, 2000, 229 (05) :1257-1263
[12]   Modified straightforward expansion [J].
He, JH .
MECCANICA, 1999, 34 (04) :287-289
[13]   Determination of limit cycles for strongly nonlinear oscillators [J].
He, JH .
PHYSICAL REVIEW LETTERS, 2003, 90 (17) :3
[14]   Limit cycle and bifurcation of nonlinear problems [J].
He, JH .
CHAOS SOLITONS & FRACTALS, 2005, 26 (03) :827-833
[15]   Homotopy perturbation method: a new nonlinear analytical technique [J].
He, JH .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 135 (01) :73-79
[16]   The homotopy perturbation method for nonlinear oscillators with discontinuities [J].
He, JH .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 151 (01) :287-292
[17]   Asymptotology by homotopy perturbation method [J].
He, JH .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 156 (03) :591-596
[18]   Homotopy perturbation method for bifurcation of nonlinear problems [J].
He, JH .
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2005, 6 (02) :207-208
[19]   Application of homotopy perturbation method to nonlinear wave equations [J].
He, JH .
CHAOS SOLITONS & FRACTALS, 2005, 26 (03) :695-700
[20]   A coupling method of a homotopy technique and a perturbation technique for non-linear problems [J].
He, JH .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2000, 35 (01) :37-43