General soliton solutions of an n-dimensional complex Ginzburg-Landau equation

Applying the function transformation method, an n-dimensional complex Ginzb urg-Landau equation is transformed to a sine-Gordon equation, sinh-Gordon e quation and other equations, which depends only on one function, zeta; and can be solved. The general solution of the equations in I leads to a genera l soliton solution of an n-dimensional complex Ginzburg-Landau equation. It contains some interesting specific solutions such as the N multiple solito ns, the propagational breathers and the quadric solitons.