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<p>This study presents a comprehensive Lie symmetry analysis of the defocussing complex modified Korteweg–de Vries (cmKdV) equation. By decomposing the associated Lie algebra into a direct sum of an ideal and a subalgebra, we construct a systematic classification of symmetries through an optimal system comprising one-, two- and three-dimensional subalgebras. Employing the one-dimensional optimal system, we obtain exact similarity solutions that reveal key aspects of the equation’s dynamical behaviour. Furthermore, several non-trivial conservation laws are derived, enhancing the understanding of the model’s intrinsic physical and mathematical properties.</p>

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Lie algebraic decomposition and dynamical insights of the defocussing complex modified KdV model

  • 期刊论文

  • 发表日期：

    2026年4月1日

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  • Debendra Prasad Panda,
  • Manoj Pandey

摘要

This study presents a comprehensive Lie symmetry analysis of the defocussing complex modified Korteweg–de Vries (cmKdV) equation. By decomposing the associated Lie algebra into a direct sum of an ideal and a subalgebra, we construct a systematic classification of symmetries through an optimal system comprising one-, two- and three-dimensional subalgebras. Employing the one-dimensional optimal system, we obtain exact similarity solutions that reveal key aspects of the equation’s dynamical behaviour. Furthermore, several non-trivial conservation laws are derived, enhancing the understanding of the model’s intrinsic physical and mathematical properties.