NEW SOLITON-LIKE SOLUTIONS TO THE TWO-DIMENSIONAL VARIABLE COEFFICIENT BURGERS EQUATION

Yuan Xiao (P. R. China)

Received December 29, 2007

References:

[1] T. C. Bountis, V. Papageorgiou and P. Winternitz, On the integrability of nonlinear ordinary differential equations with superposition principles, J. Math. Phys. 27 (1986), 1215-1224. [2] Y. Chen and B. Li, Chaos, General projective Riccati equation method and exact solutions for generalized Kdv-type and Ktv-Burgers-type equations with nonlinear terms of any order, Solitons and Fractals (2004), 977-984. [3] R. Conte and M. Musette, Link between solitary waves and projective Riccati equations, J. Phys. A (1992), 5609-5623. [4] F. Gungor, Symmetries and invariant solutions of the two-dimensional variable coefficient Burgers equation, J. Phys. A (2001), 4313-4321. [5] M. L. Wang, Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics, Phys. Lett. A (1996), 216-227. [6] G. X. Zhang, Z. B. Li and Y. S. Duan, Exact solitary wave solutions of nonlinear wave equations, Sci. in China 44(3) (2001), 396-401.

Keywords and phrases: symbolic computation, projective Riccati equations, soliton-like solutions, two-dimensional variable coefficient Burgers equation.