Abstract:
By introducing generalized Bäcklund Transformations depending on arbitrary functions, wave and localized soliton solutions of the Davey–Stewartson equations are generated. Moreover explicit soliton solutions of the Hamiltonian DSI and DSIII equations are obtained.
Citation:
F. Pempinelli, “Soliton solutions of the Hamiltonian DSI and DSIII equations”, TMF, 99:3 (1994), 501–508; Theoret. and Math. Phys., 99:3 (1994), 755–760
This publication is cited in the following 2 articles:
A. K. Pogrebkov, “Commutator identities and integrable hierarchies”, Theoret. and Math. Phys., 205:3 (2020), 1585–1592
Xiazhi Hao, Yinping Liu, Xiaoyan Tang, Zhibin Li, “The residual symmetry and exact solutions of the Davey–Stewartson III equation”, Computers & Mathematics with Applications, 73:11 (2017), 2404