Abstract
In order to solve certain class of ordinary differential equation, its solution is expanded in finite power series of p ( x ) and d p /d x , where p ( x ) is any function satisfying (d p /d x ) 2 =Σ k b k p ( x ) k . This power series systematically yields exact solutions of non-linear equations, such as the 5th KdV, Kuramoto, Fisher and other dispersive and diffusive equation.
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