Analytical solutions for system of diff equations?

Some ideas for solving this system:

1−(u˙)2−uu¨+d−1u¨v−v¨=0

cu+(v˙)2−u¨−duv¨+vv¨=0

u(0)=a˜,v(0)=u˙(0)=v˙(0)=0.