Research paperClassical solution for the linear sigma model

- In the manuscript, we show the efficiency of a direct approach for finding solutions in 1+3 dimensions for models with many fields.
- A method based on Padé approximants for finding analytical solutions of the linear sigma model is studied in 1+3 dimensions.
- Two and three travelling wave solutions are obtained for two and three bosons respectively.
- A solution for an arbitrary number of traveling waves and bosons is shown.
- The illustration of the classical solution we found shows a localized pattern that resembles a particle.

In this paper, the linear sigma model is studied using a method for finding analytical solutions based on Padé approximants. Using the solutions of two and three traveling waves in 1+3 dimensions we found, we are able to show a solution that is valid for an arbitrary number of bosons and traveling waves.