摘要： Let σ and ρ be two field variables of the n-dimensional coupled scalar fields. Taking the function transformations σ=σ(ξ) and ρ=ρ(ξ) leads to an equation F(σ,ρ,dσ/dρ,d²σ/d²ρ) =0. Inserting any solution of this equation into the field equations yields a pair of general soliton solutions σ=σ(ξ) and ρ=ρ[σ(ξ)]. Some interesting specific soliton solutions are given. The stability and other properties of these solitons are discussed.

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.

中图分类号:  (Solitons)

• 05.45.Yv

02.30.Hq (Ordinary differential equations)