Solutions induced from bright solitons for nucleon–meson model

In this work, the classical $(1+1)$-dimensional Klein–Gordon–Schrödinger (KGS) system is studied. The ansatz and the homogeneous balance principle are employed in searching for particular soliton solutions, such as bright and dark solitons. Regrettably, dark solitons cannot be captured. However, this procedure leads to a series of new singular solitons and explicit periodic wave solutions.