An Extension of the Optimal Homotopy Asymptotic Method to Coupled Schrödinger-KdV Equation

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td align="left"><span style="width: 9.625px;"><svg height="7.9499998" id="M234" style="vertical-align:-0.11285pt" version="1.1" viewbox="0 0 9.625 7.9499998" width="9.625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></span></td><td align="center">OHAM solution</td><td align="center"> Exact solution</td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td align="left">−3</td><td align="center">3/4</td><td align="center">3/4</td></tr><tr><td align="left">−2</td><td align="center">3/4</td><td align="center">3/4</td></tr><tr><td align="left">−1</td><td align="center">3/4</td><td align="center">3/4</td></tr><tr><td align="left">0</td><td align="center">3/4</td><td align="center">3/4</td></tr><tr><td align="left">1</td><td align="center">3/4</td><td align="center">3/4</td></tr><tr><td align="left">2</td><td align="center">3/4</td><td align="center">3/4</td></tr><tr><td align="left">3</td><td align="center">3/4</td><td align="center">3/4</td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Comparison of <svg height="16.625" id="M233" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 43.325001 16.625" width="43.325001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.138)"><path d="M538 96q-38 -45 -84 -76.5t-71 -31.5q-44 0 -15 117q12 49 18 89h-2q-99 -128 -163 -178q-36 -28 -70 -28q-26 0 -44 38h-2q-16 -69 -16 -129q0 -43 11 -75.5t24 -42.5l1 -6q-7 -12 -24.5 -23t-37.5 -11q-40 0 -40 76q0 52 35 202l94 407l78 24l5 -5q-32 -122 -72 -310
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</svg> solutions obtained by OHAM to the exact solution.

International Journal of Differential Equations

tab3

Table 3

Table 3: An Extension of the Optimal Homotopy Asymptotic Method to Coupled Schrödinger-KdV Equation 