Classical SU(2) Yang–Mills–Higgs system: Time‐dependent solutions by similarity method

A similarity analysis of the Wu–Yang–’t Hooft–Julia–Zee‐ansatz‐reduced system of nonlinear differential equations of classical SU(2) Yang–Mills–Higgs theory is presented. This yields the similarity group G of the equations. Considering G and one of its subgroups denoted G 1, some previously known time‐dependent solutions in the Prasad–Sommerfield limit are generated. Two new time‐dependent solutions are also reported.