التفاصيل البيبلوغرافية
| العنوان: |
Various types of discrete exact localized wave solutions and dynamical analysis for the discrete complex modified Korteweg-de Vries equation. |
| المؤلفون: |
Guo, Ming-Juan1 (AUTHOR), Wen, Xiao-Yong1 (AUTHOR) xiaoyongwen@163.com, Liu, Xue-Ke1 (AUTHOR) |
| المصدر: |
Wave Motion. Feb2024, Vol. 125, pN.PAG-N.PAG. 1p. |
| مصطلحات موضوعية: |
*KORTEWEG-de Vries equation, *ACOUSTIC wave propagation, *DARBOUX transformations, *ROGUE waves, *WATER waves, *SOUND waves |
| مستخلص: |
Under consideration is the second-order integrable discretization of complex modified Korteweg-de Vries (mKdV) equation which is regarded as the discrete counterpart of the mKdV equation having an essential role in describing the propagation behavior of water waves and acoustic waves in nonlinear media. First of all, based on the known linear spectral problem, the discrete generalized (n , N − n) -fold Darboux transformation is constructed to derive various types of discrete exact localized wave solutions, including soliton and semi-rational soliton solutions on vanishing background, breather, rogue wave and hybrid interaction solutions on plane wave background, and rational soliton solution on constant background, and the relevant evolution structures are studied graphically. Secondly, the asymptotic analysis is used to discuss the elastic interaction for two-soliton solutions and limit states for rational soliton solutions. Finally, the numerical simulation is utilized to investigate the dynamical behavior and propagation stability of some exact solutions. The findings presented in this paper may contribute to explaining physical phenomena described by the mKdV equation. • The discrete generalized (n, N -n)-fold Darboux transformation is first constructed. • Various types of discrete exact localized wave solutions are derived. • Diverse discrete wave structures are analyzed and discussed graphically. • The limit states are invesigated via asymptotic analysis technique. • The numerical simulation is used to discuss dynamical behaviors. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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