A New Approximate Procedure Based On He’s Variational Iteration Method for Solving Nonlinear Hyperbolic Wave Equations

In this article, we propose a new approximate procedure
based on He’s variational iteration method for solving nonlinear
hyperbolic equations. We introduce two transformations q = ut and
σ = ux and formulate a first-order system of equations. We can
obtain the approximation solution for the scalar unknown u, time
derivative q = ut and space derivative σ = ux, simultaneously.
Finally, some examples are provided to illustrate the effectiveness of
our method.

• Jinfeng Wang
• Yang Liu
• Hong Li

• Hyperbolic wave equation
• Nonlinear
• He’s variational iteration method
• Transformations

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