Solitary-wave solutions of the fractional nonlinear Schrödinger equation. I: Existence and numerical generation
DOI10.1007/s00332-024-10086-8MaRDI QIDQ6624015
Publication date: 24 October 2024
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
solitary wavespseudospectral methodsfractional nonlinear Schrödinger equationsPetviashvili iterative method
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Solitary waves for incompressible inviscid fluids (76B25) Fractional derivatives and integrals (26A33) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Traveling wave solutions (35C07) Soliton solutions (35C08) Fractional partial differential equations (35R11)
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