| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5011271 | Communications in Nonlinear Science and Numerical Simulation | 2018 | 8 Pages |
â¢In the manuscript, we show the efficiency of a direct approach for finding solutions in 1+3 dimensions for models with many fields.â¢A method based on Padé approximants for finding analytical solutions of the linear sigma model is studied in 1+3 dimensions.â¢Two and three travelling wave solutions are obtained for two and three bosons respectively.â¢A solution for an arbitrary number of traveling waves and bosons is shown.â¢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.
