Step Soliton Generalized Solutions of the Shallow Water Equations

<table>Theoretical and predicted amplitude wave of the soliton propagating over a discontinued bed. The point <svg height="10.9125" id="M472" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 35.924999 10.9125" width="35.924999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
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<tspan style="font-size: 12.50px; " x="0" y="0">𝑥</tspan>
<tspan style="font-size: 12.50px; " x="10.339981" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.380369" y="0">0</tspan>
</text>
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</svg> coincides with the discontinuous bottom point.</table>

Journal of Applied Mathematics

fig6

Figure 6

Figure 6: Step Soliton Generalized Solutions of the Shallow Water Equations 