Higher-order breather, lump and hybrid solutions of (2 + 1)-dimensional coupled nonlinear evolution equations with time-dependent coefficients

Abstract

This paper investigates a class of (2 + 1)-dimensional coupled nonlinear evolution equation with time-dependent coefficients in an inhomogeneous medium via the Hirota bilinear method. Combining the long wave limit method and complex conjugate transform, the higher-order breather and lump solutions are initially constructed. Furthermore, hybrid solutions among N-soliton, lump and breather solutions are derived by linear constraints on the parameters. Meanwhile, the dynamic evolution behaviour of some special concrete solutions under different time-dependent coefficients is presented visually in the form of images.

KEYWORDS:

• Hirota direct method
• long wave limit method
• higher-order breather
• higher-order lump
• symbolic calculation

2020 MATHEMATICS SUBJECT CLASSIFICATION:

Acknowledgements

We express our sincere thanks to the Editors and Reviewers for their valuable comments.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by the Natural Science Foundation of Hunan Province [grant numbers 2021JJ30548 and 2021JJ40434].