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Variational principles for some nonlinear partial differential equations with variable coefficients

✍ Scribed by Ji-Huan He

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
98 KB
Volume
19
Category
Article
ISSN
0960-0779

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✦ Synopsis

Variational principles for generalized Korteweg-de Vries equation and nonlinear Schr€ o odingerΓ•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 NoetherΓ•s theorem is made, revealing the present theorem is a straightforward and attracting mathematical tool.

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