@article{Rahman_Barman_2024, title={Existence of Small Amplitude KDV and MKDV Solitons in a Magnetized Dusty Plasma with q−Nonextensive Distributed Electrons}, url={https://periodicals.karazin.ua/eejp/article/view/23350}, DOI={10.26565/2312-4334-2024-2-06}, abstractNote={<p>The existence and propagating characteristics of small amplitude dust-ion-acoustic (DIA) Korteweg-de Vries (KdV) and modified KdV solitons in a three component magnetized plasma composed of positive inertial ions with pressure variation, noninertial electrons and negative charged immobile dust grains are theoretically and numerically investigated when the electrons obey a <em>q-</em>nonextensive velocity distribution. Utilizing the reductive perturbation method, to derive KdV and modified KdV equations and obtain the DIA soliton solutions along with the corresponding small amplitude potentials. This study shows that there are compressive and/or rarefactive solitons and no soliton at all, due to the parametric dependency on the first-order nonlinear coefficient through <em>the</em> number density of positive ions and negative dust grains and the electron nonextensivity. The coexistence of compressive and rarefactive solitons appears by raising the measure of nonlinearity coefficient to the second-order using the modified KdV equation. The properties such as speed, amplitude, width etc. of the propagating soliton are numerically discussed.</p>}, number={2}, journal={East European Journal of Physics}, author={Rahman, Muktarul and Barman, Satyendra Nath}, year={2024}, month={Jun.}, pages={74-89} }