Journal
CHAOS SOLITONS & FRACTALS
Volume 19, Issue 4, Pages 847-851Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0960-0779(03)00265-0
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Variational principles for generalized Korteweg de Vries equation and nonlinear Schrodinger's equation are obtained by the semi-inverse method. The most interesting features of the proposed method are its extreme simplicity and concise forms of variational functionals for a wide range of nonlinear problems. Comparison with the results obtained by the Noether's theorem is made, revealing the present theorem is a straightforward and attracting mathematical tool. (C) 2003 Elsevier Ltd. All rights reserved.
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