Bifurcation Approach to Analysis of Travelling Waves in Nonlocal  Hydrodynamic-Type Models

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="893279.fig.0012a" src="https://static.hindawi.com/articles/aaa/volume-2014/893279/figures/893279.fig.0012a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Peakon</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="893279.fig.0012b" src="https://static.hindawi.com/articles/aaa/volume-2014/893279/figures/893279.fig.0012b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>Smooth wave</td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="893279.fig.0012c" src="https://static.hindawi.com/articles/aaa/volume-2014/893279/figures/893279.fig.0012c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b>Cusp wave</td></tr></table></td></tr><tr class="fig-image" id="d"><td><img alt="893279.fig.0012d" src="https://static.hindawi.com/articles/aaa/volume-2014/893279/figures/893279.fig.0012d.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(d) </b>Cusp wave</td></tr></table></td></tr></table>

<table>The profiles of pseudo-peakon and periodic cusp wave solutions of (<a href="https://static.hindawi.com/articles/aaa/volume-2014/893279/figures/#EEq1">1</a>).</table>

Abstract and Applied Analysis

fig12

Figure 12

Figure 12: Bifurcation Approach to Analysis of Travelling Waves in Nonlocal  Hydrodynamic-Type Models 