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Variational principles for some nonlinear partial differential equations with variable coefficients. (English) Zbl 1135.35303
The author suggests a method to search for various variational principles for physical problems. The most interesting features of the proposed method, compared with Noether’s theorem, are its extreme simplicity and concise results for a wide range of nonlinear problems.

MSC:
35A15Variational methods (PDE)
35Q53KdV-like (Korteweg-de Vries) equations
35Q55NLS-like (nonlinear Schrödinger) equations
37K10Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies
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References:
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