论文信息 - Numerical analysis of the (2+1)-dimensional Boiti-Leon-Pempinelli equation

Numerical analysis of the (2+1)-dimensional Boiti-Leon-Pempinelli equation

The (2+1)-dimensional Boiti-Leon-Pempinelli equation is studied by the modified variational iteration method. The numerical solutions to its initial value problem are provided and compared with the exact soliton solutions. The present theory offers an in-depth physical understanding of hydrodynamic properties of non-linear wave equations.

Junfeng Lu

[1] Junfeng Lu,et al. Analytical approach to a generalized Hirota-Satsuma coupled Korteweg-de Vries equation by modified variational iteration method , 2016 .

[2] Abdul-Majid Wazwaz,et al. A variety of exact travelling wave solutions for the (2 + 1)-dimensional Boiti-Leon-Pempinelli equation , 2010, Appl. Math. Comput..

[3] Xu-Hong Wu,et al. EXP-function method and its application to nonlinear equations , 2008 .

[4] Tamer A. Abassy,et al. Toward a modified variational iteration method , 2007 .

[5] Hong-qing Zhang,et al. A new generalized algebra method and its application in the (2 + 1) dimensional Boiti–Leon–Pempinelli equation , 2007 .

[6] C. Dai,et al. Novel interactions between semi-foldons of the (2 + 1)-dimensional Boiti–Leon–Pempinelli equation , 2006 .

[7] Ding-jiang Huang,et al. Exact travelling wave solutions for the Boiti–Leon–Pempinelli equation , 2004 .

[8] Ji-Huan He. Variational iteration method – a kind of non-linear analytical technique: some examples , 1999 .

[9] Ji-Huan He,et al. Variational iteration method for delay differential equations , 1997 .

[10] J. Weiss. Factorization of the (2+1)-dimensional BLP integrable system by the periodic fixed points of its Bäcklund transformations , 1991 .

[11] M. Boiti,et al. Integrable two-dimensional generalisation of the sine- and sinh-Gordon equations , 1987 .