Electromagnetic solitons and their stability in relativistic degenerate dense plasmas with two electron species

The evolution of electromagnetic (EM) solitons due to nonlinear coupling circularly polarized intense laser pulses with low-frequency electron-acoustic perturbations is studied in relativistic degenerate dense astrophysical plasmas two groups electrons: a sparse population classical electrons and electron gas. Different forms localized stationary solutions are obtained their properties analyzed. Using the Vakhitov-Kolokolov stability criterion, conditions for existence moving EM soliton also studied. It noted that stable unstable regions shift around plane eigenfrequency velocity effects degeneracy, fraction wave frequency. Furthermore, while standing exhibit profiles longer time, solitons, however, can be or depending on degree velocity. latter an enhanced value eventually lead collapse. results should useful understanding formation highly slow response next generation laser-plasma interaction experiments as well novel features x -ray γ originate from compact objects.