Resonance Y-type soliton solutions and some new types of hybrid solutions in the (2+1)-dimensional Sawada–Kotera equation

Jiaheng Li,Qingqing Chen,Biao Li

Figure 5. (a) A hybrid of a lump wave and a up-resonance soliton described by equation (17) with ${K}_{1}=\frac{1}{2}+i,$ ${K}_{2}=\frac{1}{2}-i,$ P1 = 1, P2 = 1, ${k}_{3}=\frac{4}{3},$ ${k}_{4}=\frac{1}{2},$ ${p}_{3}=-\frac{10}{9},$ ${p}_{4}=-\frac{35}{72}+\frac{5\ \sqrt{42}}{72},$ φ1 = iπ, φ2 = iπ, φ3 = 0, φ4 = 0 at t = 0; (b) a hybrid of a second-order lump wave and a up-resonance soliton described by proposition 2 with ${K}_{1}=\frac{1}{2}+i,$ ${K}_{2}=\frac{1}{2}-i,$ ${K}_{3}=\frac{1}{3}+i,$ ${K}_{4}=\frac{1}{3}-i,$ P1 = 1, P2 = 1, P3 = 1, P4 = 1, ${k}_{5}=\frac{4}{3},$ ${k}_{6}=\frac{1}{2},$ ${p}_{5}=-\frac{10}{9},$ ${p}_{6}=-\frac{35}{72}+\frac{5\ \sqrt{42}}{72},$ φ1 = iπ, φ2 = iπ, φ3 = iπ, φ4 = iπ, φ5 = 0, φ6 = 0 at t = 0.