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) a nd rho = rho(xi) leads to an equation F(sigma, rho, dsigma/drho, d2sig ma/drho2) = 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 d iscussed.