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.005a" src="https://static.hindawi.com/articles/jam/volume-2012/236875/figures/236875.fig.005a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Asymptotically stable wave</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="236875.fig.005b" src="https://static.hindawi.com/articles/jam/volume-2012/236875/figures/236875.fig.005b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>Asymptotically stable wave</td></tr></table></td></tr></table>

<table>Waveforms of two asymptotically stable solutions in (<a href="https://static.hindawi.com/articles/jam/volume-2012/236875/figures/#EEq54">3.40</a>) when <svg height="14.2125" id="M213" style="vertical-align:-1.59705pt" version="1.1" viewbox="0 0 161.375 14.2125" width="161.375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.162)"><use xlink:href="#x1D45B"></use></g><g transform="matrix(.017,-0,0,-.017,13.305,12.162)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,28.008,12.162)"><use xlink:href="#x34"></use></g><g transform="matrix(.017,-0,0,-.017,36.168,12.162)"><use xlink:href="#x2C"></use></g><g transform="matrix(.017,-0,0,-.017,45.704,12.162)"><use xlink:href="#x1D70E"></use></g><g transform="matrix(.017,-0,0,-.017,60.034,12.162)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,74.738,12.162)"><path d="M535 230h-483v50h483v-50z" id="x2212"></path></g><g transform="matrix(.017,-0,0,-.017,84.716,12.162)"><use xlink:href="#x31"></use></g><g transform="matrix(.017,-0,0,-.017,92.876,12.162)"><use xlink:href="#x2C"></use></g>
<g transform="matrix(.017,-0,0,-.017,99.588,12.162)"><use xlink:href="#x61"></use></g><g transform="matrix(.017,-0,0,-.017,106.914,12.162)"><use xlink:href="#x6E"></use></g><g transform="matrix(.017,-0,0,-.017,116.144,12.162)"><use xlink:href="#x64"></use></g>
<g transform="matrix(.017,-0,0,-.017,127.938,12.162)"><path d="M324 430l-26 -36l-112 -4l-55 -265q-13 -66 7 -66q13 0 44.5 20t50.5 40l17 -24q-38 -40 -85.5 -73.5t-87.5 -33.5q-50 0 -21 138l55 262h-80l-2 8l25 34h66l25 99l78 63l10 -9l-37 -153h128z" id="x1D461"></path></g><g transform="matrix(.017,-0,0,-.017,138.443,12.162)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,153.147,12.162)"><use xlink:href="#x31"></use></g>
</svg>.</table>

Journal of Applied Mathematics

fig5

Figure 5

Figure 5: 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 5