Lump Solutions and Resonance Stripe Solitons to the (2+1)‐Dimensional Sawada‐Kotera Equation

Xian Li, Yao Wang, Meidan Chen and Biao Li

Advances in Mathematical Physics, 2017, vol. 2017, issue 1

Abstract: Based on the symbolic computation, a class of lump solutions to the (2+1)‐dimensional Sawada‐Kotera (2DSK) equation is obtained through making use of its Hirota bilinear form and one positive quadratic function. These solutions contain six parameters, four of which satisfy two determinant conditions to guarantee the analyticity and rational localization of the solutions, while the others are free. Then by adding an exponential function into the original positive quadratic function, the interaction solutions between lump solutions and one stripe soliton are derived. Furthermore, by extending this method to a general combination of positive quadratic function and hyperbolic function, the interaction solutions between lump solutions and a pair of resonance stripe solitons are provided. Some figures are given to demonstrate the dynamical properties of the lump solutions, interaction solutions between lump solutions, and stripe solitons by choosing some special parameters.

Date: 2017
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https://doi.org/10.1155/2017/1743789

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2017:y:2017:i:1:n:1743789

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