Residual symmetry, Bäcklund transformation and CRE solvability of a (\(\mathbf{2}{\varvec{+}}{} \mathbf{1}\))-dimensional nonlinear system
作者： Zhonglong Zhao , Bo Han
DOI: 10.1007/S11071-018-4371-2
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摘要: In this paper, the truncated Painleve expansion is employed to derive a Backlund transformation of (\(2+1\))-dimensional nonlinear system. This system can be considered as generalization sine-Gordon equation \(2+1\) dimensions. The residual symmetry presented, which localized Lie point by introducing prolonged multiple symmetries and nth in terms determinant are obtained. Based on from expansion, lump lump-type solutions constructed. Lump wave regarded one kind rogue wave. It proved that integrable sense consistent Riccati (CRE) method. solitary soliton–cnoidal explicitly given means derived CRE dynamical characteristics solutions, discussed through graphical analysis.
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