A discrete generalized coupled dispersionless integrable system and its multisoliton solutions

作者：Riaz H Wajahat A^*; ul Hassan Mahmood

来源：Journal of Mathematical Analysis and Applications, 2018, 458(2): 1639-1652.

DOI：10.1016/j.jmaa.2017.10.046

• Discrete integrable systems
• Solitons
• Darboux transformation

An integrable discretization of generalized coupled dispersionless (dGCD) integrable system via Lax pair is presented. A Lax pair for the dGCD system is defined. A Darboux transformation is used on the Lax pair to obtain multi-soliton solutions of the dGCD system. The solutions are expressed in terms of quasideterminants. Explicit expressions of discrete one- and two-soliton solutions are obtained for the SU(2) case by using properties of quasideterminants. We also study continuous analogue of the dOCD system by applying continuum limit.

• 出版日期2018-2-15