Interactions between Solitons and Cnoidal Periodic Waves of the Gardner Equation
YU Wei-Feng1,2**, LOU Sen-Yue1,3, YU Jun2, HU Han-Wei4
1Faculty of Science, Ningbo University, Ningbo 315211 2Department of Physics, Shaoxing University, Shaoxing 312000 3Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062 4Department of Physics, Beilun Minggang High School, Ningbo 315211
Abstract：The Gardner equation is one of the most important prototypic models in nonlinear physics. Many scholars pay much attention to the Gardner equation and various nonlinear excitations of the Gardner equation have been found by many methods. However, it is very difficult to find interaction solutions among different types of nonlinear excitations. In this work, with the help of the Riccati equation, the Gardner equation is solved by the consistent Riccati expansion. Furthermore, we obtain the soliton-cnoidal wave interaction solutions of the Gardner equation.
2014, Vol. 31 
