New Rational Homoclinic and Rogue Waves for Davey-Stewartson Equation

<table>(a) Bright breather structure <svg height="14.85" id="M141" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 22.0375 14.85" width="22.0375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.012)"><path d="M162 -163h-61v866h61v-866z" id="x7C"></path></g><g transform="matrix(.017,-0,0,-.017,4.533,12.012)"><path d="M751 650l-6 -28q-53 -1 -69 -12.5t-24 -38.5q-23 -85 -43 -192l-13 -69q-34 -181 -130 -262q-79 -65 -185 -65t-171 57q-87 77 -54 258l42 232q12 58 0.5 73t-75.5 19l8 28h263l-6 -28q-63 -5 -78 -18t-26 -74l-41 -226q-25 -135 22 -201t139 -66q99 0 161.5 68t91.5 217
l11 57q28 149 28 193q0 28 -19 38t-79 12l6 28h247z" id="x1D448"></path></g><g transform="matrix(.017,-0,0,-.017,17.503,12.012)"><path d="M162 -163h-61v866h61v-866z" id="x7C"></path></g>
</svg> in DSII. (b) Bright rogue wave <svg height="14.85" id="M142" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 22.0375 14.85" width="22.0375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.012)"><path d="M162 -163h-61v866h61v-866z" id="x7C"></path></g><g transform="matrix(.017,-0,0,-.017,4.533,12.012)"><path d="M751 650l-6 -28q-53 -1 -69 -12.5t-24 -38.5q-23 -85 -43 -192l-13 -69q-34 -181 -130 -262q-79 -65 -185 -65t-171 57q-87 77 -54 258l42 232q12 58 0.5 73t-75.5 19l8 28h263l-6 -28q-63 -5 -78 -18t-26 -74l-41 -226q-25 -135 22 -201t139 -66q99 0 161.5 68t91.5 217
l11 57q28 149 28 193q0 28 -19 38t-79 12l6 28h247z" id="x1D448"></path></g><g transform="matrix(.017,-0,0,-.017,17.503,12.012)"><path d="M162 -163h-61v866h61v-866z" id="x7C"></path></g>
</svg> in DSII.</table>

Abstract and Applied Analysis

fig4

Figure 4

Figure 4: New Rational Homoclinic and Rogue Waves for Davey-Stewartson Equation 