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Exact solutions for the family of third order Korteweg de-Vries equations
2016
Communications in Numerical Analysis
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In this work we apply an extended hyperbolic function method to solve the nonlinear family of third order Korteweg de-Vries (KdV) equations, namely, the KdV equation, the modified KdV (mKdV) equation, the potential KdV (pKdV) equation, the generalized KdV (gKdV) equation and gKdV with two power nonlinearities equation. New exact travelling wave solutions are obtained for the KdV, mKdV and pKdV equations. The solutions are expressed in terms of hyperbolic functions, trigonometric functions and
doi:10.5899/2016/cna-00242
fatcat:k7swqnnabzaujdzvouyf75tfqu