Periodic solutions and Whitham modulation equations for the Lakshmanan-Porsezian-Daniel equation

DOI10.1016/j.physleta.2022.128369OpenAlexW4292837636WikidataQ113866557 ScholiaQ113866557MaRDI QIDQ2081261

Hui-Qin Hao, Yan Zhang, Rui Guo

Publication date: 12 October 2022

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2022.128369

zbMATH Keywords

Lax pairWeierstrass elliptic functionRiemann invariantMadelung transformationfinite-band integration methodtwo-phase periodic solutionzero-phase solution, one-phase periodic solution

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55) Elliptic functions and integrals (33E05)

Related Items (2)

Soliton and breather solutions on the nonconstant background of the local and nonlocal Lakshmanan-Porsezian-Daniel equations by Bäcklund transformation ⋮ Bifurcation, phase portrait and traveling wave solutions of the coupled fractional Lakshmanan-Porsezian-Daniel equation

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