| Abstract: |
| We present our recent results on general breather solutions to the coupled Ablowitz-Ladik (cAL) lattice equations in terms of pfaffians. We first bilinearize the cAL lattice equations into a set of three bilinear equations under nonzero plane wave background. We show that the first two bilinear equations can be derived from the discrete BKP equation through Miwa transformation, while the third one can only be approved via the identities of pfaffians. In the second part, we will present dynamical behaviors of one-, two-breather solutions. It is interesting that a type of resonant breather solutions exists in the cAL lattice equations which seems new in the literature. |
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