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http://dx.doi.org/10.5831/HMJ.2017.39.4.649

TRAVELING WAVE SOLUTIONS FOR A SHALLOW WATER MODEL

Jung, Soyeun (Division of International Studies, Kongju National University)

Publication Information

Honam Mathematical Journal / v.39, no.4, 2017 , pp. 649-654 More about this Journal

Abstract

In this note, we seek traveling wave solutions of a shallow water model in a one dimensional space by a simple but rigorous calculation. From the profile equation of traveling wave solutions, we need to investigate the phase portrait of a one dimensional ordinary differential equation $\tilde{u}^{\prime}=F(\tilde{u})$ connecting two end states of the traveling wave solution.

Keywords

Traveling wave solutions; Shallow water model;

Citations & Related Records

Reference

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