Derivation and implicit solution of the Harry Dym equation and its connections with the Korteweg - de Vries equation
نویسنده
چکیده
The Harry Dym equation, which is related to the classical string problem, is derived in three different ways. An implicit cusp solitary-wave solution is constructed via a simple direct method. The existing connections between the Harry Dym and the Kortwegde Vries equations are uniformised and simplified, and transformations between their respective solutions are carried out explicitly. Whenever possible, physical insights are provided.
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