Obliquely propagating shock-like structures and nonlinear solitary holes in weakly relativistic magneto-plasma

A theoretical investigation is carried out for understanding the properties of obliquely propagating shock-like structures in weakly relativistic magneto-plasma. By using the Sagdeev's pseudo-potential method, we have found the obliquely propagating shock-like solution and the relation between the amplitude, the inverse scale length, the relativistic effects and the effects of obliqueness. It is shown that the shock-like structure is nonlinear extension of the solitary hole having negative trapping parameter in weakly relativistic magneto-plasma.