https://doi.org/10.1140/epjp/s13360-023-04727-2
Regular Article
Exploration of kink-type solutions of a dispersionless system using reliable techniques
1
School of Mathematics, Minhaj University, 54590, Lahore, Pakistan
2
Department of Mathematics, University of Engineering and Technology, 54890, Lahore, Pakistan
3
Department of Mathematics, Namal University, 42250, Mianwali, Pakistan
4
Department of Mathematics, COMSATS University Islamabad, 43600, Attock, Pakistan
5
Department of Mechanical Engineering, Lebanese American University, Beirut, Lebanon
6
Department of Mathematics and Statistics, Riphah International University I-14, 44000, Islamabad, Pakistan
Received:
9
April
2023
Accepted:
10
November
2023
Published online:
3
December
2023
The generalized coupled integrable dispersionless system (CIDS), which typically arises in the study of quantum field and conformal field theory, is considered for exact solutions by utilizing two reliable techniques, namely modified Kudryashov method and modified 
-expansion method. Diverse kink wave solutions with open parameters are achieved using the established methodologies. The current investigation validates the critical aspects of the techniques used to explore solutions. 
graphic representation of the obtained solutions with suitable parameters has been presented. The techniques employed in this article are approachable, efficient, and faster to calculate the soliton solutions for various nonlinear models in mathematical physics.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
