The periodic wave solutions for a \((2+1)\)-dimensional \textit{AKNS} equation

DOI10.1016/j.amc.2014.01.082zbMath1310.35065OpenAlexW1969963533MaRDI QIDQ470755

Xiao-hong Hao, Zhi-long Cheng

Publication date: 13 November 2014

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.082

zbMATH Keywords

Riemann theta functionsoliton solutionsmultidimensional Riemann theta function

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08) Ginzburg-Landau equations (35Q56)

Related Items (5)

Complex solitons in the conformable \((2+1)\)-dimensional Ablowitz-Kaup-Newell-Segur equation ⋮ ON THE COMPLEX MIXED DARK-BRIGHT WAVE DISTRIBUTIONS TO SOME CONFORMABLE NONLINEAR INTEGRABLE MODELS ⋮ Group invariant solutions and conservation laws of \((2+1)\)-dimensional AKNS equation ⋮ Dynamical analysis of diversity lump solutions to the (2+1)-dimensional dissipative Ablowitz–Kaup–Newell–Segure equation ⋮ Quasi-periodic solutions of \((3+1)\) generalized BKP equation by using Riemann theta functions

Cites Work

• Unnamed Item
• The integrability of nonisospectral and variable-coefficient KdV equation with binary Bell polynomials
• \(N\)-soliton solutions for shallow water waves equations in \((1+1)\) and \((2+1)\) dimensions
• New traveling wave solutions to AKNS and SKdV equations
• Bäcklund transformation and soliton solutions for the shallow water waves equation
• Quasi-periodic waves and an asymptotic property for the asymmetrical Nizhnik–Novikov–Veselov equation

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