The first integral method to the nonlinear Schrödinger equations in higher dimensions

DOI10.1155/2013/349173zbMath1308.35048OpenAlexW2087048578WikidataQ58916004 ScholiaQ58916004MaRDI QIDQ1949450

Shoukry Ibrahim Atia El-Ganaini

Publication date: 8 May 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/349173

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Traveling wave solutions (35C07)

Related Items (9)

Solutions of some class of nonlinear PDEs in mathematical physics ⋮ New exact traveling wave solutions of the (4+1)-dimensional Fokas equation ⋮ Hyperbolic (2+1)-dimensional Schrödinger equation: similarity analysis, optimal system and complexitons for the one-parameter group of rotations ⋮ New exact solutions of some nonlinear systems of partial differential equations using the first integral method ⋮ Nonlinear spin dynamics of a couple of nonlinear Schrödinger's equations by the improved form of an analytical method ⋮ A variety of new soliton structures and various dynamical behaviors of a discrete electrical lattice with nonlinear dispersion via variety of analytical architectures ⋮ Solitons and other solutions for higher-order NLS equation and quantum ZK equation using the extended simplest equation method ⋮ On solving the (3+1)-dimensional NLEQZK equation and the (3+1)-dimensional NLmZK equation using the extended simplest equation method ⋮ Elementary functions for constructing exact solutions to nonlinear partial differential equations with applications to nonlinear Schrödinger type and MHD equations

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