Zeitschrift für Naturforschung A · 2006 · 124 citations · 1 references
Natural SciencesMathematicsComputational MechanicsComputational PhysicsDifferential EquationsApproximation MethodsNumerical Methods For Differential EquationsPartial Differential EquationsBoussinesq EquationsElliptic Partial Differential EquationsNonlinear Differential-algebraic EquationsNonlinear Partial Differential EquationsNumerical Analysis Of Partial Differential EquationsNumerical Solutions Of Partial Differential Equations
In this paper we further improve the modified extended tanh-function method to obtain new exact solutions for nonlinear partial differential equations. Numerical applications of the proposed method are verified by solving the improved Boussinesq equation and the system of variant Boussinesq equations. The new exact solutions for these equations include Jacobi elliptic doubly periodic type,Weierstrass elliptic doubly periodic type, triangular type and solitary wave solutions
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