In this article, we study for the first time stochastic Kaup–Newell equation in birefringent fibers. Three integration algorithms are applied, namely, unified Riccati expansion method, addendum to Kudryashov's and modified sub‐ODE method. Many types of optical soliton solutions such as Jacobi‐elliptic function solutions, Weierstrass elliptic bright solitons, dark singular periodic obtained. Num...

In this paper, we investigate local and nonlocal reductions of a discrete negative order Ablowitz–Kaup–Newell–Segur equation. By the bilinearization reduction method, construct exact solutions in double Casoratian form to reduced sine-Gordon equations. Then, semidiscrete equations their are obtained through continuum limits. The dynamics soliton analyzed illustrated by asymptotic analysis. rese...

We consider the periodic standing waves in derivative nonlinear Schrodinger (DNLS) equation arising plasma physics. By using a newly developed algebraic method with two eigenvalues, we classify all terms of eight eigenvalues Kaup-Newell spectral problem located at end points bands outside real line. The analytical work is complemented numerical approximation bands, this enables us to fully char...