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<p>The nonlinear evolution and intricate wave group dynamics of dust–ion acoustic waves (DIAWs) in a superthermal dusty plasma are explored through the analytical framework of the Gardner equation to incorporate both quadratic and cubic nonlinearities. The influence of self-interaction effects on wave packet modulation is analyzed through the derivation of a nonlinear Schrödinger equation (NLSE), which reveals the conditions under which modulational instability emerges. Our analysis reveals that the superthermal parameter strongly influences wave dispersion and significantly modifies the modulational instability regime within the relevant parameter space. Numerical simulations provide a spectrum of nonlinear wave structures, including solitons, double layers, table top solitons, breathers, and rogue waves, demonstrating complex wave dynamics under weakly nonlinear conditions.</p>

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Nonlinear evolution of dust–ion acoustic wave dynamics in superthermal dusty plasmas

  • 期刊论文

  • 发表日期：

    2025年8月21日

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  • Biswajit Sahu,
  • Prasenjit Singha

摘要

The nonlinear evolution and intricate wave group dynamics of dust–ion acoustic waves (DIAWs) in a superthermal dusty plasma are explored through the analytical framework of the Gardner equation to incorporate both quadratic and cubic nonlinearities. The influence of self-interaction effects on wave packet modulation is analyzed through the derivation of a nonlinear Schrödinger equation (NLSE), which reveals the conditions under which modulational instability emerges. Our analysis reveals that the superthermal parameter strongly influences wave dispersion and significantly modifies the modulational instability regime within the relevant parameter space. Numerical simulations provide a spectrum of nonlinear wave structures, including solitons, double layers, table top solitons, breathers, and rogue waves, demonstrating complex wave dynamics under weakly nonlinear conditions.