2021/01/29 by Feng Yuan · 20 citations
Chemistry · Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Breather #Chemistry #Degenerate energy levels #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Order (exchange) #Physics #Quantum mechanics #Taylor series #Transformation (genetics)
paper · doi:10.1142/s0217979221500533
published in International Journal of Modern Physics B 35(04), 2150053 (World Scientific)
crossref issued 2021/01/29 · crossref published 2021/01/29 · crossref published-online 2021/01/29 · openalex publication_date 2021/01/29 · crossref created 2021/01/29 · crossref published-print 2021/02/10 · crossref deposited 2021/02/25 · openalex created_date 2025/10/10 · crossref indexed 2026/08/04 · openalex updated_date 2026/08/05
Starting with a plane wave seed, the order-[Formula: see text] breather for the (2+1)-D complex modified Korteweg-de Vries (cmKdV) equations is obtained by the use of Darboux transformation. The dynamic evolution of order-2 and order-3 breather solutions is shown in the form of pictures. Afterward, we obtain the order-[Formula: see text] degenerate breather solution by using the Taylor expansion concerning the limits [Formula: see text] and focus on the order-2 degenerate breather solution. We show the dynamic evolution with time and discuss the degradation process from a breather solution through getting [Formula: see text] closer and closer to [Formula: see text]. Furthermore, the approximate trajectories of the order-2, order-3, order-4 degenerate breather solutions are depicted by explicit expressions, respectively.