A Generalized KdV Equation of Neglecting the Highest-Order Infinitesimal Term and Its Exact Traveling Wave Solutions

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="656297.fig.003a" src="https://static.hindawi.com/articles/aaa/volume-2013/656297/figures/656297.fig.003a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Bounded wave </td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="656297.fig.003b" src="https://static.hindawi.com/articles/aaa/volume-2013/656297/figures/656297.fig.003b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>Periodic wave of singular type   </td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="656297.fig.003c" src="https://static.hindawi.com/articles/aaa/volume-2013/656297/figures/656297.fig.003c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b>Broken wave of U-form </td></tr></table></td></tr><tr class="fig-image" id="d"><td><img alt="656297.fig.003d" src="https://static.hindawi.com/articles/aaa/volume-2013/656297/figures/656297.fig.003d.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(d) </b>Broken wave of semiparabola form</td></tr></table></td></tr></table>

<table>The profiles of solutions (<a href="https://static.hindawi.com/articles/aaa/volume-2013/656297/figures/#EEq3.48">81</a>), (<a href="https://static.hindawi.com/articles/aaa/volume-2013/656297/figures/#EEq3.55">88</a>), (<a href="https://static.hindawi.com/articles/aaa/volume-2013/656297/figures/#EEq3.63">96</a>), and (<a href="https://static.hindawi.com/articles/aaa/volume-2013/656297/figures/#EEq3.64">97</a>) for the fixed parameters. </table>

Abstract and Applied Analysis

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Figure 3

Figure 3: A Generalized KdV Equation of Neglecting the Highest-Order Infinitesimal Term and Its Exact Traveling Wave Solutions 