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\iteman{io-port 06084792}
\itemau{Wen, Xiao-Yyong}
\itemti{Fission and fusion interaction phenomena of the $(2+1)$-dimensional dispersive long wave equations.}
\itemso{Rep. Math. Phys. 69, No. 2, 197-212 (2012).}
\itemab
Summary: With the aid of symbolic computation, the $(2+1)$-dimensional dispersive long-wave equations are investigated via B\"acklund transformation and the Hirota bilinear method, two types of new multiple soliton solutions with $2n + 1$ arbitrary functions for that system are derived. Based on the derived solutions, abundant coherent structures like dromions, compactons and peakons are derived, and moreover, the fission and fusion interactions among different types of localized structures are discussed graphically, which might be helpful for understanding the travel of the shallow water wave.
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\itemut{(2+1)-dimensional dispersive long wave equations; multiple soliton solutions; fission and fusion interaction; Hirota bilinear method; symbolic computation}
\itemli{doi:10.1016/S0034-4877(12)60025-1}
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