Lie–Backlund Symmetry Generators and a Variety of Novel Periodic-Soliton Solutions to the Complex-Mode of Modified Korteweg-de Vries Equation

• Autores: Marwan Alquran, Rawya Al deiakeh
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 2, 2024
• Idioma: inglés
• DOI: 10.1007/s12346-023-00953-2
• Enlaces
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• Resumen

  • In this study, we reexamine the complex mode of the modified Korteweg-de Vries (cmKdV) equation. First, we establish the Lie–Backlund symmetry generators to derive conservation laws for the cmKdV equation. Then, we derive several new explicit solutions for the proposed model through the application of effective explicit methodologies like the Kudryashov expansion, rational sine-cosine functions, and rational sinh-cosh functions. The resulting solutions exhibit distinct physical characteristics, relevant to diverse complex mediums such as surface water waves, short pulses in optical fibers, and plasma waves. The novelty and significance of these obtained solutions concerning cmKdV in this research contribute to the advancement of complex wave theory.

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