A family {q} of the multicomponent special functions is defined for obtaining the exact travelling wave solutions to nonlinear evolution and wave equations. It is shown that the functions qn from {q} for some n=2,4,… are closely related to the special unitary groups SU(n). The necessary and sufficient conditions for existence of a family of the exact multicomponent travelling wave solutions to a quasilinear evolution equation are given. An efficiency of the method based on q-functions is demonstrated on several classes of the nonlinear partial differential equations.
No takes yet. Share an insight, caveat, or question.
В. В. Гудков (1997) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: