New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations

In this Letter, a more powerful method to seek exact travelling wave solutions of nonlinear partial differential equations is presented, which uses the good ideas of the extended-tanh function method and our previous method. The two new integrable coupled potential KdV equation and modified KdV-type equations which were firstly presented by Foursov (J. Math. Phys. 41 (2000) 6173) are chosen to illustrate the method by using symbolic computation such that multiple travelling wave solutions are obtained which contain new kink-like soliton solutions, kink-shaped solitons, bell-shaped solitons, rational solutions and singular solitons that may be useful to explain the "blow-up" phenomena. (C) 2001 Published by Elsevier Science B.V.