https://doi.org/10.1140/epjd/s10053-026-01117-y
Research - Plasmas
Effect of quartic nonlinearity in the formation of small amplitude dust ion-acoustic solitary waves in a dusty plasma with Boltzmann electrons
1
Department of Mathematics, Pandit Deendayal Upadhyaya Adarsha Mahavidyalaya, 783383, Tulungia, Bongaigaon, Assam, India
2
Department of Mathematics, Central Institute of Technology Kokrajhar, BTR, 783370, Kokrajhar, Assam, India
a
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Received:
22
September
2025
Accepted:
8
January
2026
Published online:
8
February
2026
Abstract
Nonlinear propagation of dust ion-acoustic (DIA) solitary waves in a multicomponent dusty plasma composed of negative mobile dusts, non-thermal ions and Boltzmann electrons has been investigated theoretically by incorporating quartic nonlinearity into the system which is very rare in its type. To get detailed behavior of DIA solitary waves, modified Korteweg-de Vries (mKdV) equation is derived with cubic and quartic nonlinearity using usual reductive perturbation technique (RPT). In this new investigation, DIA solitary waves are investigated rigorously and many interesting results are observed on both amplitudes and widths of the solitary waves for different plasma parameters. We observe that, amplitudes and widths of the mKdV dust ion-acoustic (mKdV-DIA) solitons and new mKdV-DIA solitons with quartic nonlinearity (QmKdV-DIA) are greatly affected by the number of dust charge 
, dust-to-ion density ratio 
, initial streaming speeds of ions 
and dusts 
.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2026
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.
