Liu, Hong-Mei Generalized variational principles for ion acoustic plasma waves by He’s semi-inverse method. (English) Zbl 1135.76597 Chaos Solitons Fractals 23, No. 2, 573-576 (2005). Summary: Some generalized variational principles are obtained for ion-acoustic plasma waves by He’s semi-inverse method. The obtained variational principle has profound implications in physical understandings, explaining the interaction between various variables in an energy view and the existence of conservation law. Cited in 62 Documents MSC: 76X05 Ionized gas flow in electromagnetic fields; plasmic flow × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Li, Y.; Sattinger, D. H., Soliton collisions in ion acoustic plasma equations, J. Math. Fluid. Mech., 1, 117-130 (1999) · Zbl 0934.35148 [2] He, J. H., Generalized variational principles in fluids (2003), Science and Culture Publishing House of China: Science and Culture Publishing House of China Hongkong, China, (in Chinese) · Zbl 1054.76001 [3] He, J. H., Semi-inverse method of establishing generalized variational principles for fluid mechanics with emphasis on turbomachinery aerodynamics, Int. J. Turbo Jet-Engines, 14, 1, 23-28 (1997) [4] He, J. H., Hamilton principle and generalized variational principles of linear thermopiezoelectricity, ASME J. Appl. Mech., 68, 4, 666-667 (2001) · Zbl 1110.74474 [5] He, J. H., Variational theory for linear magneto-electro-elasticity, Int. J. Non-Linear Sci. Numer. Simul., 2, 4, 309-316 (2001) · Zbl 1083.74526 [6] He, J. H., Coupled variational principles of piezoelectricity, Int. J. Eng. Sci., 39, 3, 323-341 (2000) · Zbl 1210.74175 [7] Hao, T. H., Application of the Lagrange multiplier method the semi-inverse method to the search for generalized variational principle in quantum mechanics, Int. J. Non-Linear Sci. Numer. Simul., 4, 3, 311-312 (2003) [8] He, J.-H.; Liu, H.-M.; Pan, N., Variational model for ionomeric polymer-metal composites, Polymer, 44/26, 8195-8199 (2003) [9] Liu, H. M., Variational approach to nonlinear electrochemical system, Int. J. Non-Linear Sci. Numer. Simul., 15, 1, 95-96 (2004) [10] He, J. H., A classical variational model for micropolar elastodynamics, Int. J. Non-Linear Sci. Numer. Simul., 1, 2, 133-138 (2000) · Zbl 0967.74008 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.