Lie symmetry reductions, power series solutions and conservation laws of the coupled Gerdjikov-Ivanov equation using optimal system of Lie subalgebra

DOI10.1007/s00033-021-01564-0zbMath1466.35010OpenAlexW3171834094MaRDI QIDQ2035752

Yanyan Li

Publication date: 25 June 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-021-01564-0

zbMATH Keywords

convergence analysisLie symmetry analysisLie symmetry reductions

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) NLS equations (nonlinear Schrödinger equations) (35Q55) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, invariants, etc. in context of PDEs (35B06) Systems of nonlinear higher-order PDEs (35G50)

Related Items (4)

Lie symmetries reduction and spectral methods on the fractional two-dimensional heat equation ⋮ Inverse scattering transform for the two‐component Gerdjikov–Ivanov equation with nonzero boundary conditions: Dark‐dark solitons ⋮ Conservation laws, soliton solutions and modulation instability for the coupled Gerdjikov-Ivanov equations ⋮ Use of optimal subalgebra for the analysis of Lie symmetry, symmetry reductions, invariant solutions and conservation laws of the (3 + 1)-dimensional extended Sakovich equation

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