Generalized variational principle for electromagnetic field with magnetic monopoles by He's semi-inverse method

International Journal of Nonlinear Sciences and Numerical Simulation

Volumn 10, Issue 11-12, 2009, Pages 1369-1372

  Zheng, Cheng Bo ^a   Liu, Bin ^a   Wang, Zuo Jun ^a   Zheng, Shi Ke ^a  

^a YANSHAN UNIVERSITY   (China)

Author keywords

Electromagnetic field; Generalized variational principle; Graviton; Hamiltonian; Higgs; Lagrangian; Magnet; Magnetic monopole; Semi inverse method

Indexed keywords

EID: 77950423059     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: 10.1515/IJNSNS.2009.10.11-12.1369     Document Type: Article

References (21)

1. Kadowaki H., Doi N., Aoki Y., et al. Observation of Magnetic Monopoles in Spin Ice, Arxiv preprint arXiv:0908.3568, 2009 - arxiv.org
2. Bramwell S.T., Giblin S.R., Calderl S., et al. Magnetic Charge Transport, Arxiv preprint arXiv:0907.0956, 2009 - arxiv.org
3. Rothwell E.J., Cloud M.J. Electromagnetics. CRC Press, 2001.
4. He J.H. Semi-inverse method of establishing generalized variational principles for fluid mechanics with emphasis on turbomachinery aerodynamics. International Journal of Turbo and Jet-Engines, 1997, 14(1), pp. 23-28.
5. He J.H. A variational approach to electroelastic analysis of piezoelectric ceramics with surface electrodes. Mechanics Research Communications, 2000, 27(4), pp. 445-450.
6. He J.H. Coupled variational principles of piezoelectricity. International Journal of Engineering Science, 2001, 39(3), pp. 323- 341.
7. He J.H. Minimum energy principles and generalized variational principles of nonlinear piezoelectricity. J. Theor. Appl. Meek 2001, 31(2), pp. 89-96.
8. He J.H. Hamilton principle and generalized variational principles of linear thermopiezoelectricity. Journal of Applied Mechanics-Transactions of the Asme, 2001, 68(4), pp. 666-667.
9. He J.H. Generalized variational principles for thermopiezoelectricity. Archive of Applied Mechanics, 2002, 72(4-5), pp. 248- 256.
10. He J.H. Variational theory for linear magneto-electro-elasticity. International Journal of Nonlinear Sciences and Numerical Simulation, 2001, 2(4), pp. 309- 316.
11. He J.H. A family of variational principles for linear micromorphic elasticity. Computers & Structures, 2003, 81(21), pp. 2079-2085.
12. He J.H. A generalized variational principle in micromorphic thermoelasticity. Mechanics Research Communications, 2005, 32(1), pp. 93-98.
13. He J.H. Variational principles for some nonlinear partial differential equations with variable coefficients. Chaos Solitons Fractals, 2004, 19(4), pp. 847-851.
14. He J.H. Variational approach to (2 + 1)dimensional dispersive long water equations. Physics Letters A, 2005, 335(2-3), pp. 182-184.
15. He J.H. Variational theory for onedimensional longitudinal beam dynamics. Physics Letters A, 2006, 352(4-5), pp. 276- 277.
16. He J.H. Variational principle for twodimensional incompressible inviscid flow. Physics Letters A, 2007, 371(1-2), pp. 39- 40.
17. Ozis T, Yidirim A. Application of He's semi-inverse method to the nonlinear Schrodinger equation. Computers & Mathematics with Applications, 2007, 54(7-8), pp. 1039-1042.
18. Tao Z. L. Solitary Solutions of the BoitiLeon-Manna-Pempinelli Equation Using He's Variational Method. Zeitschrift Fur Naturforschung Section A-A Journal of Physical Sciences, 2008, 63(10-11), pp. 634-636.
19. Pak S. Solitary Wave Solutions for the RLW Equation by He's Semi inverse Method. International Journal of Nonlinear Sciences and Numerical Simulation, 2009, 10(4), pp. 505-508.
20. He J.H., Lee E.W.M. Variational principle for the differential-difference system arising in stratified hydrostatic flows. Physics Letters A, 2009, 373, pp. 1644- 1645.
21. He J.H. Treatment shocks in transonic aerodynamics in the meshless method Part I: Lagrange multiplier approach. International Journal of Turbo and JetEngines, 1999, 16(1), pp. 19-25.