A study on KdV and Gardner equations with time-dependent coefficients and forcing terms |
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| Authors: | Abdul-Majid Wazwaz |
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| Affiliation: | Department of Mathematics, Saint Xavier University, Chicago, IL 60655, United States |
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| Abstract: | In this work we study the KdV equation and the Gardner equation with time-dependent coefficients and forcing term for each equation. A generalized wave transformation is used to convert each equation to a homogeneous equation. The soliton ansatz will be applied to the homogeneous equations to obtain soliton solutions. |
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| Keywords: | KdV equation Gardner equation Time-dependent coefficients Forcing term |
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