Generalized PT-symmetric nonlinear Dirac equation: exact solitary waves solutions, stability and conservation laws
This paper derives exact solitary wave solutions for a generalized -symmetric nonlinear Dirac equation with power-law scalar-scalar interactions, demonstrating that while energy and momentum are conserved despite gain-loss effects, the -transition point is determined by solution existence rather than nonlinearity strength, and that higher-order nonlinearities combined with gain-loss mechanisms restrict the stability domain of these solutions.