Invariant analytical solutions for the motion of an elastic string with
electric current in a static magnetic field
- Evgeny Kurmyshev,
- Luis Manuel Piñuelas Castro,
- Alexander Yakhno
, - Liliya Yakhno
Evgeny Kurmyshev
Universidad de Guadalajara Centro Universitario de Los Lagos
Corresponding Author:ekurmyshev@culagos.udg.mx
Author ProfileAlexander Yakhno
Universidad de Guadalajara Centro Universitario de Ciencias Exactas e Ingenieria
Author ProfileLiliya Yakhno
Universidad de Guadalajara Centro Universitario de Ciencias Exactas e Ingenieria
Author ProfileAbstract
In this work, the Lie symmetry theory is used to study the propagation
of waves in an elastic string with electric currents in a static
magnetic field. Both linear and nonlin- ear cases of the governing
equations of string motion are analyzed. The classification problem of
finding the principal admitted Lie groups of symmetries is solved. Some
invariant analytical solutions are constructed. The physics of invariant
solutions is interpreted when it is possible.11 Aug 2020Submitted to Mathematical Methods in the Applied Sciences 12 Aug 2020Submission Checks Completed
12 Aug 2020Assigned to Editor
21 Aug 2020Reviewer(s) Assigned
10 Feb 2021Review(s) Completed, Editorial Evaluation Pending
11 Feb 2021Editorial Decision: Revise Major
01 Mar 20211st Revision Received
02 Mar 2021Submission Checks Completed
02 Mar 2021Assigned to Editor
03 Mar 2021Reviewer(s) Assigned
10 Mar 2021Review(s) Completed, Editorial Evaluation Pending
12 Mar 2021Editorial Decision: Accept
07 Apr 2021Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.7399 
