Singular asymptotics for the Clarkson-McLeod solutions of the fourth Painlevé equation

Jun Xia, Shuai-Xia Xu, Yu-Qiu Zhao

We consider the Clarkson-McLeod solutions of the fourth Painlevé equation. This family of solutions behave like $\kappa D_{\alpha -\frac{1}{2}}^2(\sqrt{2}x)$ as $x\to +\infty$, where $…