Journal
PHYSICA SCRIPTA
Volume 86, Issue 1, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0031-8949/86/01/015402
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Funding
- Natural Science Foundation of Guangdong Province [1015283001000000]
- Science Research Foundation of Shunde Polytechnic [2008-KJ07]
- Qatar National Research Foundation [NPRP 09-462-1-074]
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By using the self-similar method for obtaining localized solutions of nonlinear evolution partial differential equations, we found analytical breather solutions to the nonlinear Schrodinger equation with longitudinally variable coefficients and an arbitrary transversely linear potential. The Ma and the second-order breather solutions are derived by choosing the parameters appropriately. We discuss the influence of different parameters on the characteristics of the solutions found. We demonstrate that the parameters not only control the propagation direction of the breather, but also influence its shape and the period.
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