Variational formulation for a generalized third order equation

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Yabin Shao; He JI Huan; Alsolami Abdulrahman Ali

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Journal Paper

Paper Information

Journal: THE JOURNAL OF COMPUTATIONAL APPLIED MECHANICS Year:2024 | Volume:55 | Issue:4 Page(s): 711-716

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Information Journal Paper

Title

Variational formulation for a generalized third order equation

Author(s)

Yabin Shao | He JI Huan | Alsolami Abdulrahman Ali | Issue Writer Certificate

Keywords

variational principle

Semi-inverse method

KdV equation

Abstract

A universal formulation is obtained for the construction of a variational principle for a general third-order differential equation, regardless of its self-adjoint condition. Three illustrative examples are provided to demonstrate the convenience and efficacy of the proposed formulation.

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