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Article
Reconstruction of stability for Gaussian spatial solitons in quintic–septimal nonlinear materials under \({{\varvec{\mathcal {P}}}}{\varvec{\mathcal {T}}}\) -symmetric potentials
Gaussian spatial soliton solutions of both the constant-coefficient and variable-coefficient (2 + 1)-dimensional nonlinear Schrödinger equations in quintic–septimal nonlinear materials with different diffracti...
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Article
Two-dimensional localized Peregrine solution and breather excited in a variable-coefficient nonlinear Schrödinger equation with partial nonlocality
Hierarchies of Peregrine solution and breather solution are derived in a (2+1)-dimensional variable-coefficient nonlinear Schrödinger equation with partial nonlocality. Based on these solutions, we study the c...
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Article
Soliton dynamics in the three-spine \(\alpha \) -helical protein with inhomogeneous effect
We study a three-coupled variable-coefficient nonlinear Schrödinger equation, which describes soliton dynamics in the three-spine $$\a...