Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 54, Issue 7-8, Pages 1039-1042Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2006.12.047
Keywords
variational principles; semi-inverse method; Schodinger equation
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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.
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