Periodic and rational solutions of modified Korteweg-de Vries equation
We present closed form periodic solutions of the integrable modified Korteweg-de Vries equation (mKdV). By using a Darboux transformation, we derive first-and second-order doubly-periodic lattice-like solutions. We explicitly derive first-and second-order rational solutions as limiting cases of periodic solutions. We have also found the degenerate solution which corresponds to the equal eigenvalue case. Among the second-order solutions, we single out the doubly-localized high peak solution on a...[Show more]
|Collections||ANU Research Publications|
|Source:||The European Physical Journal D|
|Access Rights:||Open Access|
|01_Chowdury_Perioodic_and_Rational_Solutions_2016.pdf||2.5 MB||Adobe PDF|
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