GENERAL SOLITON SOLUTIONS OF THE COUPLED SCALAR FIELDS

Let \sigma and \rho be two field variables of the n-dimensional coupled scalar fields. Taking the function transformations \sigma=\sigma(\xi) and \rho=\rho(\xi) leads to an equation F(\sigma, \rho, d\sigma/d\rho, d²\sigma/d²\rho) = 0. Inserting any solution of this equation into the field equations yields a pair of general soliton solutions \sigma = \sigma(\xi) and \rho = \rho\sigma(\xi). Some interesting specific soliton solutions are given. The stability and other properties of these solitons are discussed.