Extended Mixed Function Method and Its Application for Solving Two Classic Toda Lattice Equations

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="293607.fig.006a" src="https://static.hindawi.com/articles/ddns/volume-2011/293607/figures/293607.fig.006a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Discrete antikink wave</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="293607.fig.006b" src="https://static.hindawi.com/articles/ddns/volume-2011/293607/figures/293607.fig.006b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>Discrete kink wave</td></tr></table></td></tr></table>

<table>The solution <svg height="11.0125" id="M268" style="vertical-align:-3.20526pt" version="1.1" viewbox="0 0 13.5875 11.0125" width="13.5875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.0125)">
<g transform="translate(72,-63.19)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑢</tspan>
</text>
<text transform="matrix(1,0,0,-1,-66.02,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑛</tspan>
</text>
</g>
</g>
</svg> in   (<a href="https://static.hindawi.com/articles/ddns/volume-2011/293607/figures/#EEq78">4.15</a>) shows shapes of discrete antikink and kink solitons.</table>

Discrete Dynamics in Nature and Society

fig6

Figure 6

Figure 6: Extended Mixed Function Method and Its Application for Solving Two Classic Toda Lattice Equations 