Abstract
Utilizing the extended projective Ricatti equation expansion method, abundant variable separation solutions of the (2+1)-dimensional dispersive long wave systems are obtained. From the special variable separation solution (38) and by selecting appropriate functions, new types of interaction between the multi-valued and the single-valued solitons, such as semi-foldon and dromion, semi-foldon and peakon, semi-foldon and compacton are found. Meanwhile, we conclude that the solution v is essentially equivalent to the ’universal” formula (1).
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PACS numbers 05.45.Yv, 02.30.Jr, 03.65.Ge
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Rui-min, W., Jian-ya, G., Chao-Qing, D. et al. Construction of New Variable Separation Excitations via Extended Projective Ricatti Equation Expansion Method in (2+ 1)- Dimensional Dispersive Long Wave Systems. Int J Theor Phys 46, 102–115 (2007). https://doi.org/10.1007/s10773-006-9203-3
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DOI: https://doi.org/10.1007/s10773-006-9203-3