Solutions to the non-autonomous ABS lattice equations: Casoratians and bilinearization

2012/01/31 by Ying Shi, Da‐jun Zhang, Shi, Ying +3
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1201.6478

openalex publication_date 2012/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the paper non-autonomous H1, H2, H3_δ and Q1_δ equations in the ABS list are bilinearized. Their solutions are derived in Casoratian form. We also list out some Casoratian shift formulae which are used to verify Casoratian solutions.

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