Numerical Simulation of the Modified Regularized Long Wave Equation by He's Variational Iteration Method

作者：Labidi Manel; Omrani Khaled^*

来源：Numerical Methods for Partial Differential Equations, 2011, 27(2): 478-489.

DOI：10.1002/num.20537

• variational iteration method
• MRLW equation
• conservation laws
• solitary waves

The modified regularized long wave (MRLW) equation, with some initial conditions, is solved numerically by variational iteration method. This method is useful for obtaining numerical solutions with high degree of accuracy. The variational iteration solution for the MRLW equation converges to its exact solution. Moreover, the conservation laws properties of the MRLW equation are also studied. Finally, interaction of two and three solitary waves is shown.

• 出版日期2011-3