Exact Traveling Wave Solutions of Explicit Type, Implicit Type, and Parametric Type for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>K</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mi>n</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> Equation

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="236875.fig.007a" src="https://static.hindawi.com/articles/jam/volume-2012/236875/figures/236875.fig.007a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Bright soliton</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="236875.fig.007b" src="https://static.hindawi.com/articles/jam/volume-2012/236875/figures/236875.fig.007b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>Smooth periodic wave</td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="236875.fig.007c" src="https://static.hindawi.com/articles/jam/volume-2012/236875/figures/236875.fig.007c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b>Smooth periodic wave</td></tr></table></td></tr><tr class="fig-image" id="d"><td><img alt="236875.fig.007d" src="https://static.hindawi.com/articles/jam/volume-2012/236875/figures/236875.fig.007d.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(d) </b>Antikink wave</td></tr></table></td></tr><tr class="fig-image" id="e"><td><img alt="236875.fig.007e" src="https://static.hindawi.com/articles/jam/volume-2012/236875/figures/236875.fig.007e.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(e) </b>Kink wave</td></tr></table></td></tr><tr class="fig-image" id="f"><td><img alt="236875.fig.007f" src="https://static.hindawi.com/articles/jam/volume-2012/236875/figures/236875.fig.007f.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(f) </b>Singular periodic wave</td></tr></table></td></tr></table>

<table>The graphs of six kinds of waveforms for solutions (<a href="https://static.hindawi.com/articles/jam/volume-2012/236875/figures/#EEq75">3.59</a>), (<a href="https://static.hindawi.com/articles/jam/volume-2012/236875/figures/#EEq76">3.60</a>), (<a href="https://static.hindawi.com/articles/jam/volume-2012/236875/figures/#EEq77">3.61</a>), (<a href="https://static.hindawi.com/articles/jam/volume-2012/236875/figures/#EEq79">3.63</a>), and (<a href="https://static.hindawi.com/articles/jam/volume-2012/236875/figures/#EEq85">3.68</a>).</table>

Journal of Applied Mathematics

fig7

Figure 7

Figure 7: Exact Traveling Wave Solutions of Explicit Type, Implicit Type, and Parametric Type for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>K</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mi>n</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> Equation 

Journal of Applied Mathematics

Exact Traveling Wave Solutions of Explicit Type, Implicit Type, and Parametric Type for K(m,n) Equation

Figure 7