Acta Physica Sinica · 2008 · 13 citations · 0 references
Natural SciencesMathematicsDifferential EquationsInitial Value ProblemsNonlinear DynamicsPartial Differential EquationsBoussinesq EquationsElliptic Partial Differential EquationsKlein-gordon EquationNonlinear EvolutionSoliton Theory
By using the modified mapping method, we find some new exact solutions of the nonlinear Klein-Gordon equation, mKdV equation and the generalized Boussinesq equation. The solutions obtained in this paper include Jacobian elliptic function solutions, combined Jacobian elliptic function solutions, soliton-like solutions and triangular function solutions.