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New solitons and kink solutions for the Gardner equation
Authors:Abdul-Majid Wazwaz  
Institution:aDepartment of Mathematics and Computer Science, 3700 W. 103rd Street, Saint Xavier University, Chicago, IL 60655, United States Minor Outlying Islands
Abstract:The Gardner equation, also called combined KdV–mKdV equation, is studied. New hyperbolic ansatze are proposed to derive solitons solutions. The tanh method is used as well to obtain kink solutions.
Keywords:KdV equation  Gardner equation  Solitary wave solutions  Tanh method
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