School of Mathematical & Statistical Sciences Faculty Publications

On series solutions of modified Euler equations for two-dimensional incompressible irrotational flow

Document Type

Article

Publication Date

4-13-2026

Abstract

In this paper we consider traveling wave solutions for a free boundary problem that is related to the Euler equations in hydrodynamics. By using the methods of separation of variables and power series expansions we obtain approximate traveling wave-type solutions for the problem. The properties of the traveling waves solutions are studied and the advantages and limitations of the procedure presented. Physical applications and constructive extensions of the results are discussed and periodic and soliton type traveling waves examples included.

Comments

https://rdcu.be/fg3H2

Publication Title

Analysis and Mathematical Physics

DOI

10.1007/s13324-026-01166-x

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