# 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} }

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…

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