An analytic study on the two generalized forms of the nonlinear heat conduction equations is presented in this paper. The modified Kudryashov method is employed to construct exact solitary wave solutions of these equations. The results reveal that the modified Kudryashov method is a powerful mathematical tool to solve nonlinear partial differential equations (NPDEs) in terms of accuracy and efficiency.
Key words: Nonlinear heat conduction, modified Kudryashov method, travelling wave solutions.
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