Avinash Khare et al 2009 J. Phys. A: Math. Theor. 42 475404 doi:10.1088/1751-8113/42/47/475404
Mapping between generalized nonlinear Schrödinger equations and neutral scalar field theories and new solutions of the cubic–quintic NLS equation
Avinash Khare1, Avadh Saxena2 and Kody J H Law3
Show affiliationsWe highlight an interesting mapping between the moving breather solutions of the generalized nonlinear Schrödinger (NLS) equations and the static solutions of neutral scalar field theories. Using this connection, we then obtain several new moving breather solutions of the cubic–quintic NLS equation both with and without uniform phase in space. The stability of some stationary solutions is investigated numerically and the results are confirmed via dynamical evolution.
- PACS
- MSC
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35Q55 NLS-like (nonlinear Schrödinger) equations (See also 37K10)
- Subjects
- Dates
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Issue 47 (27 November 2009)
Received 22 July 2009, in final form 4 October 2009
Published 9 November 2009
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Mapping between generalized nonlinear Schrödinger equations and neutral scalar field theories and new solutions of the cubic–quintic NLS equation
Avinash Khare et al 2009 J. Phys. A: Math. Theor. 42 475404
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