• Corpus ID: 246016243

Darboux transformation and exact solitonic solutions of integrable coupled nonlinear wave equation

@inproceedings{Mahmood2022DarbouxTA,
  title={Darboux transformation and exact solitonic solutions of integrable coupled nonlinear wave equation},
  author={Irfan Mahmood and Hira Sohail},
  year={2022}
}

• Irfan Mahmood, Hira Sohail
• Published 15 January 2022
• Mathematics

In this article, we construct the Darboux solutions of integrable coupled nonlinear wave equation associated with Hirota Satsuma system in Darboux framework with their N-th generalization in terms of Wronskians through its Lax pair. We also derive the exact solitonic solutions for the coupled eld variables of that system with the help of one and twofold Darboux transformations in the background of zero seed solution. This work also encloses the derivation of zero curvature representation for the integrable coupled nonlinear waves equation possessing traceless matrices through its existed Lax pair, which may be assumed to t in AKNS scheme as it usually involves the order 2 traceless matrices.