Abstract 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.
Received: 24 March 1993
Accepted manuscript online:
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