New solitons and kink solutions for the Gardner equation |
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Authors: | Abdul-Majid Wazwaz |
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Affiliation: | aDepartment of Mathematics and Computer Science, 3700 W. 103rd Street, Saint Xavier University, Chicago, IL 60655, United States Minor Outlying Islands |
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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. |
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Keywords: | KdV equation Gardner equation Solitary wave solutions Tanh method |
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