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    Experimental observation of drift acoustic cnoidal waves in a magnetized plasma

    Tanmay Karmakar1,2,*, Rosh Roy1,2, Lavkesh Lachhvani1,2, Raju Daniel1,2, Bhoomi Khodiyar1,2, Prabal K. Chattopadhyay1,2, Abhijit Sen1,2, and Sayak Bose3,†

    • *Contact author: tanmay.karmakar@ipr.res.in
    • †Present address: Princeton Plasma Physics Laboratory, Princeton, New Jersey 08540, USA.

    Phys. Rev. E 114, 045211 – Published 26 October, 2026

    DOI: https://doi.org/10.1103/mmzz-gq7q

    Abstract

    We report the experimental observation of highly nonlinear coherent structures in a linear magnetized plasma characterized by a strong background density gradient and significant E×B velocity shear under high ion-neutral collisionality. These structures, identified as drift acoustic waves, exhibit large normalized density fluctuations reaching amplitudes of up to ∼10% and show periodic sawtoothlike waveforms. These observed waveforms are well described by cnoidal functions, corresponding to stationary nonlinear wave trains. Cnoidal waves are exact solutions of Korteweg–de Vries-type equations, alongside the more commonly studied soliton solutions. To the best of our knowledge, this work presents the first controlled experimental observation of cnoidal wave trains in a highly collisional magnetized plasma through systematic variation of profile gradients. These findings provide important new insights into the nonlinear evolution and saturation of drift acoustic waves in inhomogeneous, sheared, and collisional magnetized plasmas.

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