Approach to first-order exact solutions of the Ablowitz-Ladik equation
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).
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|Source:||Physical Review E-Statistical, Nonlinear and Soft Matter Physics|
|01_Ankiewicz_Approach_to_first-order_exact_2011.pdf||352.93 kB||Adobe PDF||Request a copy|
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