Abstract
In recent years, there has been a considerable development in the study of the soliton solutions of the class of nonlinear Schrödinger equations
for several forms of the nonlinear term F(ρ).1
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Lonngren K. and Scott A.C. Eds., Solitons in Action,Academic,N.Y.,1978.
Scott A.C., Chu F.Y.F. and McLaughlin D.W., The Soliton etc., Proc..IEEE, 61, 1443, 1973.
Bialynicki-Birula I. and Mycielski J., Wave equations with logarithmic nonlinearities, Bull. Acad. Polon. Sci. ClIII, 23, 461, 1975.
Bialynicki-Birula I. and Mycielski J., Nonlinear wave mechanics, Ann. Phys. 100, 62, 1976.
Bialynicki-Birula I. and Mycielski J., Gaussons, Physica Scripta (topical issue Solitons), 1979.
Ventura I. and Marquez G.C., Semiclassical quantization of a field theoretical model, J.Math. Phys. 19, 838, 1978.
3. Oficialski J. and Bialynicki-Birula I., Collisions of gaussons, Acta Physica Polonica,B9, 759, 1978.
Newell A.C., Nonlinear Tunnelling, J.Math. Phys. 19, 1126, 1978.
Segur H. and Ablowitz J., Asymptotic solutions and conservation laws for the nonlinear Schröd. eq., J.Math. Phys. 17, 710 and 714, 1976.
Pereira N.R. and Stenflo L., Nonlinear Schrödinger equations etc., Phys. of Fluids 20, 1733, 1977.
Watanabe G., Solitons and Generation of tail etc. J.Phys. Soc. Jap. 45, 276, 1978.
Makhankov V.G., Dynamics of classical solitons, Phys. Rep. 35, 1, 1978.
Zakharov J.V.E. and Shabat A.B., Exact theory of two dimensional self focusing etc. Soviet Phys. JETP 34, 62, 1972.
Goldberg A. et al., Computer-generated motion pictures of Q.M.transmis-sion and reflection phenomena, Am. J.Phys. 35, 177, 1967.
Shimony A., Proposed neutron interferometer test for some nonlinear variants of wave mechanics, Phys. Rev. 20A, 394, 1979.
De Broglie L., Nonlinear wave mechanics, Elsevir, New York, 1960.
Andreade e Silva J., La theorie de la double solution; Fer F., Guidage de Particules, ondes singulières, Louis de Broglie, sa conception du monde physique, Gauthier-Villars, Paris 1973.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1980 Springer-Verlag Wien
About this chapter
Cite this chapter
Minelli, T.A., Pascolini, A. (1980). Solitons of a Nonlinear Schrödinger Equation. In: Blaquiére, A., Fer, F., Marzollo, A. (eds) Dynamical Systems and Microphysics. International Centre for Mechanical Sciences, vol 261. Springer, Vienna. https://doi.org/10.1007/978-3-7091-4330-8_24
Download citation
DOI: https://doi.org/10.1007/978-3-7091-4330-8_24
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-81533-5
Online ISBN: 978-3-7091-4330-8
eBook Packages: Springer Book Archive