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The integrability of coupled KdV equations is examined. The simplified form of Hirota’s bilinear method is used to achieve this goal. Multiple-soliton solutions and multiple singular soliton solutions are formally derived for each coupled KdV equation. The resonance phenomenon of each model will be examined.
[14] A.M. Wazwaz, Phys. Lett. A 373, 2927 (2009) http://dx.doi.org/10.1016/j.physleta.2009.06.026[Crossref]
[15] A.M. Wazwaz, Partial Differential Equations and Solitary Waves Theory (HEP and Springer, Peking and Berlin, 2009) http://dx.doi.org/10.1007/978-3-642-00251-9[Crossref]