1School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, Henan 450001, China 2School of Mathematics and Statistics, Kashgar University, Kashgar, Xinjiang 844006, China 3School of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley, Edinburg, TX 78539, United States of America
One-soliton solution Qpq at y = 0 in (4.19) with the parameters chosen as ${\sigma }_{1}^{(1)}=0.1$, ${\phi }_{1}^{(1)}=\pi /6;{\sigma }_{1}^{(2)}=0.2$, ${\phi }_{1}^{(1)}=\pi /2;{\sigma }_{1}^{(3)}=0.3$, ${\phi }_{1}^{(3)}=2\pi /3$ and ${a}_{1}=0.2,{a}_{2}=0.4$, ${a}_{2}=0.6;{b}_{1}=0.3$, ${b}_{2}=0.5,{b}_{3}=0.7$."
Figure 1.
Figure 2.
One-soliton solution Qqq at y = 0 in (4.20) with the parameters chosen as ${\sigma }_{1}^{(1)}=0.1,{\phi }_{1}^{(1)}=\pi /6;{\sigma }_{1}^{(2)}=0.2$, ${\phi }_{1}^{(1)}=\pi /2;{\sigma }_{1}^{(3)}=0.3$, ${\phi }_{1}^{(3)}=2\pi /3$ and ${a}_{1}=0.2,{a}_{2}=0.4$, ${a}_{2}=0.6;{b}_{1}=0.3$, ${b}_{2}=0.5,{b}_{3}=0.7$."
Figure 2.
Figure 3.
Two-soliton solution Qpq at y = 0 in the case of (4.6) with the parameters chosen as ${\sigma }_{1}=0.1,{\phi }_{1}=\pi /6;{\sigma }_{2}=0.2,{\phi }_{2}=2\pi /3;$ and ${a}_{1}=0.2,{a}_{2}=0.4,{a}_{3}=0.6;{b}_{1}=0.3,{b}_{2}=0.5,{b}_{3}=0.7$."
Figure 3.
Figure 4.
Two-soliton solution Qqq at y = 0 in the case of (4.6) with the parameters chosen as ${\sigma }_{1}=0.1,{\phi }_{1}=\pi /6;{\sigma }_{2}=0.2,{\phi }_{2}=2\pi /3$ and ${a}_{1}=0.2,{a}_{2}=0.4,{a}_{3}=0.6;{b}_{1}=0.3,{b}_{2}=0.5,{b}_{3}=0.7$."
Figure 4.
Figure 5.
Two-soliton solution Qpq at y = 0 in the case of (4.6) with the parameters chosen as ${\sigma }_{1}^{(1)}=0.1,{\phi }_{1}^{(1)}=\pi /6;{\sigma }_{1}^{(2)}=0.2$, ${\phi }_{1}^{(2)}=\pi /2;{\sigma }_{1}^{(3)}=0.3$, ${\phi }_{1}^{(3)}=2\pi /3;{\sigma }_{2}^{(1)}=0.4$, ${\phi }_{2}^{(1)}=\pi /4;{\sigma }_{2}^{(2)}=0.5$, ${\phi }_{2}^{(2)}=\pi /3;{\sigma }_{2}^{(3)}=0.6$, ${\phi }_{2}^{(3)}=\pi /2$ and ${a}_{1}=0.2,{a}_{2}=0.4$, ${a}_{3}=0.6;{b}_{1}=0.3$, ${b}_{2}=0.5,{b}_{3}=0.7$."
Figure 5.
Figure 6.
Two-soliton solution Qqq at y = 0 in the case of (4.6) with the parameters chosen as ${\sigma }_{1}^{(1)}=0.1,{\phi }_{1}^{(1)}=\pi /6;{\sigma }_{1}^{(2)}=0.2$, ${\phi }_{1}^{(2)}=\pi /2;{\sigma }_{1}^{(3)}=0.3$, ${\phi }_{1}^{(3)}=2\pi /3;{\sigma }_{2}^{(1)}=0.4$, ${\phi }_{2}^{(1)}=\pi /4;{\sigma }_{2}^{(2)}=0.5$, ${\phi }_{2}^{(2)}=\pi /3;{\sigma }_{2}^{(3)}=0.6$, ${\phi }_{2}^{(3)}=\pi /2$ and ${a}_{1}=0.2,{a}_{2}=0.4$, ${a}_{3}=0.6;{b}_{1}=0.3$, ${b}_{2}=0.5,{b}_{3}=0.7$."
SantiniP M2003 Geometry and IntegrabilityLondon Mathematical Society Lecture Note Seriesvol 295CambridgeCambridge University Press135153
doi: 10.1017/CBO9780511543135
)
