On integrability of a third-order complex nonlinear wave equation
arXiv:2205.09538 · doi:10.33581/1561-4085-2022-25-4-381-386
Abstract
We show that the new third-order complex nonlinear wave equation, introduced recently by Müller-Hoissen [arXiv:2202.04512], does not pass the Painlevé test for integrability. We find two reductions of this equation, one integrable and one non-integrable, whose solutions jointly cover all solutions of the original equation.
arXiv comment8 pages
References in corpus (17)
- A new integrable generalization of the Korteweg - de Vries equation
- On integrability of the vector short pulse equation
- Coupled KdV equations of Hirota-Satsuma type
- Symmetrically coupled higher-order nonlinear Schroedinger equations: singularity analysis and integrability
- Backlund transformation and special solutions for Drinfeld-Sokolov-Satsuma-Hirota system of coupled equations
- On integrability of a (2+1)-dimensional perturbed Kdv equation
- Integrability of Kersten-Krasil'shchik coupled KdV-mKdV equations: singularity analysis and Lax pair
- Integrability of a Generalized Ito System: the Painleve Test
- A vectorial binary Darboux transformation of the first member of the negative part of the AKNS hierarchy
- A new Painleve-integrable equation possessing KdV-type solitons
- Addendum to ``Coupled KdV Equations of Hirota-Satsuma Type'' (J. Nonlin. Math. Phys. Vol. 6, No.3 (1999), 255--262)
- Enlarged spectral problems and nonintegrability
- Singularity analysis of a spherical Kadomtsev-Petviashvili equation
- On two aspects of the Painleve analysis
- Singularity Analysis and Integrability of a Burgers-Type System of Foursov
- A Note on the Painleve Property of Coupled KdV Equations
- Integrability of one bilinear equation: singularity analysis and dimension