On periodic waves of the nonlinear systems

Le Xuan Can

Abstract


The paper is concerned with the solvability and approximate solution of the nonlinear partial differential equation describing the periodic wave propagation.

Necessary and sufficient conditions for the existence of the periodic wave solutions are obtained.

An approximate method for solving the equation is presented.

As an illustrative example, the equation of periodic waves of the electric cables is considered.


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DOI: https://doi.org/10.15625/0866-7136/10037

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