TY - JOUR
T1 - On the Lax integrability of a generalized fifth-order KdV model with time-dependent coefficients in fluid dynamics
AU - Wang, Meng’en
AU - Qiu, Tianwei
AU - He, Xingjia
AU - Deng, Hanyue
AU - Wang, Yichao
AU - Wei, Guangmei
N1 - Publisher Copyright:
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025.
PY - 2025/12
Y1 - 2025/12
N2 - This study presents a comprehensive analysis of a generalized fifth-order Korteweg–de Vries model with time-dependent coefficients, under specific Lax integrability conditions derived from the Ablowitz–Kaup–Newell–Segur system. We systematically derive both the Γ-Riccati-type and Wahlquist–Estabrook-type Bäcklund transformations, which provide a foundation for generating exact solutions. In addition, the framework allows for the derivation of infinitely many conservation laws, highlighting the model’s rich integrable properties. This work contributes to the understanding of higher order Korteweg–de Vries equations in the shallow water wave theory.
AB - This study presents a comprehensive analysis of a generalized fifth-order Korteweg–de Vries model with time-dependent coefficients, under specific Lax integrability conditions derived from the Ablowitz–Kaup–Newell–Segur system. We systematically derive both the Γ-Riccati-type and Wahlquist–Estabrook-type Bäcklund transformations, which provide a foundation for generating exact solutions. In addition, the framework allows for the derivation of infinitely many conservation laws, highlighting the model’s rich integrable properties. This work contributes to the understanding of higher order Korteweg–de Vries equations in the shallow water wave theory.
UR - https://www.scopus.com/pages/publications/105013462969
U2 - 10.1140/epjs/s11734-025-01848-w
DO - 10.1140/epjs/s11734-025-01848-w
M3 - 文章
AN - SCOPUS:105013462969
SN - 1951-6355
VL - 234
SP - 5403
EP - 5413
JO - European Physical Journal: Special Topics
JF - European Physical Journal: Special Topics
IS - 18
ER -