Novel Chaotic Behaviors and Evolutions for the Nonlinear (3+1)-Dimensional Burgers System


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Based on the non-traveling wave solution and a chemical chaos system, chaotic soliton excitations are established for the nonlinear (3+1)-dimensional Burgers system. The chaotic behavior and chaotic evolution of the system are studied.



Edited by:

Gary Yang




B. Q. Li et al., "Novel Chaotic Behaviors and Evolutions for the Nonlinear (3+1)-Dimensional Burgers System", Advanced Materials Research, Vol. 429, pp. 334-337, 2012

Online since:

January 2012




[1] S.Y. Lou, J. Yu, X.Y. Tang, New exact solutions and special soliton structures for the (3+1)-dimensional Burgers system, Acta Phys. Sin. Vol. 57(2008), pp.11-1417.

[2] M.L. Wang, X.Z. Li, J.L. Zhang, The (G'/G)-expansion method and traveling wave solutions of nonlinear evolution equations in mathematical physics, Phys. Lett. A Vol. 372(2008), pp.417-423.


[3] M.L. Wang, J.L. Zhang, X.Z. Li, Application of the (G'/G)-expansion to travelling wave solutions of the Broer–Kaup and the approximate long water wave equations, Appl. Math. Comput. Vol. 206(2008), pp.321-326.


[4] L.X. Li, M.L. L.X. Li, M.L. Wang, The (G'/G)-expansion method and travelling wave solutions for a higher-order nonlinear schrodinger equation, Appl. Math. Comput. Vol. 208(2009), pp.440-445.


[5] Ismail Aslan, Turgut Ozisb, Analytic study on two nonlinear evolution equations by using the (G'/G)-expansion method, Appl. Math. Comput. 209(2009), pp.425-429.


[6] Y.B. Zhou, C. Li, Application of Modified G'/G-Expansion Method to Traveling Wave Solutions for Whitham-Broer-Kaup-Like Equations, Commun. Theor. Phys. (Beijing) 51(2009) pp.664-670.


[7] B.Q. Li, Y.L. Ma, (G'/G)-expansion method and new exact solutions for (2+1)-dimensional asymmetrical Nizhnik-Novikov-Veselov system, Acta Phys. Sin. 58(2009), pp.4373-4378.

[8] Y.L. Ma, B.Q. Li, J.Z. Sun, New application of (G'/G)-expansion method for high dimensional nonlinear physical equations, Acta Phys. Sin. Vol. 58(2009), pp.7402-7408.

[9] B.Q. Li, Y.L. Ma, M.P. Xu, (G'/G)-expansion method and novel fractal structure for high-dimensional nonlinear physical equation, Acta Phys. Sin. Vol. 59(2010), pp.1409-1415.

[10] B.Q. Li, Y.L. Ma, Exact solutions for coupled mKdV equations by a new symbolic computation method, Appl. Mech. Mater. Vol. 20-23(2010), pp.184-189.


[11] B.Q. Li, M.P. Xu, Y.L. Ma, New exact solutions of (2+1)-dimensional generalization of shallow water wave equation by (G'/G)-expansion method, Appl. Mech. Mater. Vol. 20-23(2010), pp.1516-1521.


[12] S.H. Ma, J.Y. Qiang, J.P. Fang, The interaction between solitons and chaotic behaviours of (2+1)-dimensional Boiti-Leon-Pempinelli system, Acta Phys. Sin. Vol. 56(2007), pp.620-626.