https://doi.org/10.1140/epjp/s13360-024-05132-z
Regular Article
Effect of polarization force on Gardner multi solitons and breather solitons traits in opposite polarity dusty plasma
1
Department of Mathematics, K. K. M. College, Jamui, A Constituent Unit of Munger University, 811307, Bihar, India
2
School of Natural Sciences, GNA University, Phagwara, India
Received:
22
October
2023
Accepted:
3
March
2024
Published online:
1
May
2024
Multi soliton wave structures of Gardner solitons, varying magnitude wave packet that is known as breather soliton structure, are dealt with the present research work under the effect of polarization force in collisionless, unmagnetized four component dusty plasma composing of non-inertial ions, inertial opposite charge dust grains and electrons following of Maxwellian distribution. By employing the reductive perturbation technique in small amplitude approximation, the Korteweg–de Vries (KdV) and modified KdV (MKdV) equations have been derived that governs the dust acoustic solitary waves for same plasma model. Under certain critical condition, the extended version has been employed again and that derives Gardner equation. Hirota bilinear method has been used to obtain multi-soliton solutions and the common occurrence of breather soliton solutions near the critical parameters, which illustrates a special type of nonlinear features embedded therein. The profiles of different kinds of nonlinear structures such as breathers solitons have been described under the influence of different plasma parameters. Breathers (oscillating wave packets) play a significant role in hydrodynamics and optics, and their interaction can change the dynamics of the wave fields. Hence, it plays an important role in the propagation of finite-amplitude waves in a variety of natural phenomena, including the atmosphere, the ocean, optical fibers, signal processing, etc.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. 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.
