title: Interactions among periodic waves and solitary waves of the (N + 1)-dimensional sine-Gordon field.
abstract: Exact solutions of the (n + 1)-dimensional sine-Gordon field equation are studied with help of those of the cubic nonlinear Klein-Gordon fields. The mapping relations among the sine-Gordon field equation and the cubic nonlinear Klein-Gordon fields are pure algebraic. By solving the cubic nonlinear Klein-Gordon equations, many new types of exact explicit solutions such as the periodic-periodic interaction waves, periodic-kink interaction waves, periodic perturbed "snake" shape solitary waves, etc., are displayed both analytically and graphically.
authors.affiliation: Department of Physics, Shanghai Jiao Tong University, China.
authors.forename: S Y
authors.initials: SY
authors.lastname: Lou
authors.forename: Heng-Chun
authors.initials: HC
authors.lastname: Hu
authors.forename: Xiao-Yan
authors.initials: XY
authors.lastname: Tang