Abstract
We consider the connection problem for the sine-Gordon PIII equation which is the most commonly studied case among all general third Painleve transcendents. The connection formulas are derived by the method of "uniform asymptotics" proposed by Bassom, Clarkson, Law and McLeod (Arch. Rat. Mech. Anal., 1998).
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Wong, R., & Zhang, H. Y. (2015). On the connection formulas of the third painlevé transcendent. In Selected Works Of Roderick S. C. Wong, The (In 3 Volumes) (pp. 1224–1243). World Scientific Publishing Co. Pte. Ltd. https://doi.org/10.3934/dcds.2009.23.541
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