An analytical solution to the dissipative nonlinear Schrödinger equation.

DOI10.1016/S0096-3003(02)00476-9zbMath1037.35077OpenAlexW2110741933MaRDI QIDQ1412436

Hilmi Demiray

Publication date: 25 November 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00476-9

zbMATH Keywords

solitary wavetravelling wave solutionhyperbolic tangent methoddissipative NLS equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Solutions to PDEs in closed form (35C05)

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Cites Work

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• Modulation of nonlinear waves in a thin elastic tube filled with a viscous fluid
• Solutions to the perturbed KdV equation
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems