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Consistent Riccati expansion for finding interaction solutions of (2+1)‐dimensional modified dispersive water‐wave system
Authors:Jinfu Liang  Xun Wang
Abstract:A consistent Riccati expansion (CRE) is proposed to solve the (2+1)‐dimensional modified dispersive water‐wave (MDWW) system. It is proved that the MDWW system is CRE solvable. Furthermore, new exact interaction solutions, namely, soliton‐trigonometric waves, trigonometric waves‐soliton, soliton‐cosine periodic waves, and soliton‐cnoidal waves are explicitly derived.
Keywords:consistent Riccati expansion  soliton‐cnoidal wave solution  soliton‐trigonometric wave solution  (2+1)‐dimensional MDWW system
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