New exact solutions for two nonlinear equations

In this Letter, we investigate two nonlinear equations given by ut−uxxt+3u2ux=2uxuxx+uuxxxut−uxxt+3u2ux=2uxuxx+uuxxx and ut−uxxt+4u2ux=3uxuxx+uuxxxut−uxxt+4u2ux=3uxuxx+uuxxx. Through some special phase orbits we obtain four new exact solutions for each equation above. Some previous results are extended.