Approach to first-order exact solutions of the Ablowitz-Ladik equation
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Ankiewicz, Adrian; Akhmediev, Nail; Lederer, Falk
Description
We derive exact solutions of the Ablowitz-Ladik (A-L) equation using a special ansatz that linearly relates the real and imaginary parts of the complex function. This ansatz allows us to derive a family of first-order solutions of the A-L equation with two independent parameters. This novel technique shows that every exact solution of the A-L equation has a direct analog among first-order solutions of the nonlinear Schrödinger equation (NLSE).
Collections | ANU Research Publications |
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Date published: | 2011 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/70401 |
Source: | Physical Review E-Statistical, Nonlinear and Soft Matter Physics |
DOI: | 10.1103/PhysRevE.83.056602 |
Access Rights: | Open Access |
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01_Ankiewicz_Approach_to_first-order_exact_2011.pdf | 352.93 kB | Adobe PDF |
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