Abstract
In this paper, the polynomial complete discriminant system method is introduced to construct optical solitons and single traveling wave solutions for the Triki–Biswas equation, which is one of the most important mathematical and physical equation usually used to simulate phenomena in nonlinear optics, quantum mechanics and plasma physics. The Jacobi elliptic function solutions, dark solitons solutions, bright solitons solutions, singular solitons solutions and other solutions have been presented.
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