Dynamical behavior of similarity solutions of CKOEs with conservation law
作者：
Highlights：
• System of coupled Konno–Oono equations (CKOEs) describes the propagation of a current-fed string in 3-dimensional space interacting with an external magnetic field.
• Optimal subalgebra and invariants for the CKOEs are generated with the help of killing form.
• Using the Noether’s theorem, the conserved vectors are calculated to show strong indication of integrability of the CKOEs.
• Exact solutions show physical behaviors like single soliton, doubly soliton, bright and dark multisolitos, stationary, traveling wave, asymptotic and highly progressive.
• One, two and three dimensional optimal subalgebra generated for the CKOEs.
摘要
•System of coupled Konno–Oono equations (CKOEs) describes the propagation of a current-fed string in 3-dimensional space interacting with an external magnetic field.•Optimal subalgebra and invariants for the CKOEs are generated with the help of killing form.•Using the Noether’s theorem, the conserved vectors are calculated to show strong indication of integrability of the CKOEs.•Exact solutions show physical behaviors like single soliton, doubly soliton, bright and dark multisolitos, stationary, traveling wave, asymptotic and highly progressive.•One, two and three dimensional optimal subalgebra generated for the CKOEs.
论文关键词：Coupled Konno–Oono equations,Killing form,Invariant solutions,Conservation law,Adjoint action,Sub-algebra
论文评审过程：Received 24 September 2021, Revised 16 January 2022, Accepted 23 January 2022, Available online 7 February 2022, Version of Record 7 February 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.126976
