Wednesday, 1 January 2025

Lie’s Infinitesimal Continuous Parameter Similarity Transformation Method of Solving Coupled Nonlinear Partial Differential Equations and Exact Solutions of SU (2) Yang-Mills Field Equations | Chapter 5 | Research Updates in Mathematics and Computer Science Vol. 6

 

Using Lie’s Infinitesimal continuous parameter similarity transformation method of solving nonlinear coupled partial differential equations is used to find two new exact solutions of Wu-Yang-t’ Hooft-Julia-Zee ansatz reduced SU(2) Yang-Mills-Higgs field equations at Prasad-Sommerfield limits. These new solutions are with trigonometric circular functions unlike known hyperbolic functions. A general method of solving coupled nonlinear partial differential equations by reducing the number of independent variables by one, this method is explained.

 

Author(s)details:-

 

B. V. Baby
3/88, Jadkal Post, Udupi District, Karnataka State,576 233, India.

 

Please See the book here :- https://doi.org/10.9734/bpi/rumcs/v6/315

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