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4 papers
Multi-component decompositions, linear superpositions, and new nonlinear integrable coupled KdV-type systems
Xiazhi Hao, S. Y. Lou
The existence of decompositions of the nonlinear integrable systems not only permits us to establish so-called linear superposition solutions but also to derive new nonlinear integ…
Special decompositions and linear superpositions of nonlinear systems: BKP and dispersionless BKP equations
Xiazhi Hao, S. Y. Lou
The existence of decomposition solutions of the well-known nonlinear BKP hierarchy is explored. It is shown that these decompositions provide simple and interesting relationships b…
A novel (2+1)-dimensional integrable KdV equation with peculiar solution structures
S. Y. Lou
The celebrated (1+1)-dimensional Korteweg de-Vries (KdV) equation and its (2+1)-dimensional extention, the Kadomtsev-Petviashvili (KP) equation, are two of the most important model…
Exact parity and time reversal symmetry invariant and symmetry breaking solutions for a nonlocal KP system
Wenbiao Wu, S. Y. Lou
A nonlocal Alice-Bob Kadomtsev-Petviashivili (ABKP) system with shifted-parities ( and parities with shifts for the space variables and ) and dela…