New Jacobian Elliptic Function Solutions of Modified KdV
Equation: II |
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Authors: | YAN Zhen-Ya |
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Institution: | Department of Mathematics, University of British Columbia,
Vancouver, BC, Canada V6T 1Z2 |
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Abstract: | Recently, we obtained thirteen families of Jacobian elliptic function solutions of mKdV equation by using our extended Jacobian elliptic function expansion method. In this note, the mKdV equation is investigated and another three families of new doubly periodic solutions (Jacobian elliptic function solutions) are found again
by using a new transformation, which and our extended Jacobian elliptic
function expansion method form a new method still called the
extended Jacobian elliptic function expansion method. The new method can
be more powerful to be applied to other nonlinear differential equations. |
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Keywords: | modified KdV equation Jacobian elliptic function doubly periodic solution |
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