A variational approach to nonlinear evolution equations in optics
2001 (English)In: Pramana (Bangalore), ISSN 0304-4289, E-ISSN 0973-7111, Vol. 57, no 5-6, p. 917-936
Article in journal (Refereed) Published
Abstract [en]
The use of direct variational methods based on Rayleigh-Ritz optimization for finding approximate solutions to various nonlinear evolution equations was presented. The main advantage of the approach is that it provides simple and explicit expressions for physically relevant quantities where exact analytical solutions are not available. It is found that the given method is flexible and can be applied to stationary and dynamical problems.
Place, publisher, year, edition, pages
Indian Academy of Sciences , 2001. Vol. 57, no 5-6, p. 917-936
Keywords [en]
Bose-Einstein condensates, Euler-Lagrange equation, Magnetic trap, Nonlinear Schrödinger equation, Rayleigh-Ritz optimization, Variational method, Differential equations, Fourier transforms, Green's function, Integral equations, Mathematical models, Nonlinear equations, Phase modulation, Magnetic traps, Nonlinear optics
National Category
Other Physics Topics
Identifiers
URN: urn:nbn:se:ri:diva-56550DOI: 10.1007/s12043-001-0006-zScopus ID: 2-s2.0-0035517243OAI: oai:DiVA.org:ri-56550DiVA, id: diva2:1594742
2021-09-162021-09-162023-05-09Bibliographically approved