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New exact solutions of a nonlinear integrable equation

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Analytic solutions of the partial differential equations are needed to explain many phenomena seen in thermodynamics, aerodynamics, plasma physics, and other fields. In this paper, variational principle is analyzed of… Click to show full abstract

Analytic solutions of the partial differential equations are needed to explain many phenomena seen in thermodynamics, aerodynamics, plasma physics, and other fields. In this paper, variational principle is analyzed of the integrable nonlinear Korteweg–de Vries (KdV) typed equation. In addition, exact solutions of this equation are obtained by using various methods such as direct integration, homogeneous balance method, Exp‐function method, and Kudryashov method.

Keywords: integrable equation; new exact; solutions nonlinear; equation; nonlinear integrable; exact solutions

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020

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