Optical solitons, which have the unique characteristic that waveform and velocity remain unchanged over long distant propagation, have been paid increasing attention in recent years [
1–
5]. It is found that the formation mechanism of optical solitons during the propagation process is the balance between group velocity dispersion and the self-phase modulation effect in the anomalous dispersion region [
1]. To describe the propagation of optical solitons in optical fibers, the nonlinear Schrödinger equation (NLSE) known as an important and universal model has been developed with some generalizations and soliton solutions presented [
6–
13]. Nevertheless, the generalized Ginzburg–Landau equation (GGLE), which is widely applied in such fields as superconductivity, liquid crystal, Bose–Einstein condensate, can be considered as a dissipative generalization of NLSE [
14–
17]. Different analytical and numerical methods have been applied to the GGLE, while various novel solutions including the pulsating, erupting and creeping solitons have been obtained [
18–
23]. By means of numerical simulations, the stability of various solutions has been proved [
24,
25]. For a wider application prospect, the model has been extended to higher-dimension and higher-order cases [
26–
30]. Moreover, parity-time (${ \mathcal P }{ \mathcal T }$) symmetric potentials have been introduced to the GGLE with several interesting results [
25,
31,
32]. Though different ${ \mathcal P }{ \mathcal T }$-symmetric behaviors have been studied theoretically or observed in experiments [
33–
38], limited research has been done which is relevant to the higher-order GGLE. In previous work, we have investigated the fourth-order GGLE with quintic nonlinearities and near ${ \mathcal P }{ \mathcal T }$-symmetric structures [
39].