A new \((3+1)\)-dimensional Sakovich equation in nonlinear wave motion: Painlevé integrability, multiple solitons and soliton molecules
DOI10.1007/s12346-022-00689-5zbMath1504.35122OpenAlexW4309490207MaRDI QIDQ2099689
Bang-Qing Li, Abdul-Majid Wazwaz, Yu-Lan Ma
Publication date: 24 November 2022
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12346-022-00689-5
Painlevé integrability\((3+1)\)-dimensional Sakovich equationmulti-solution solutionssoliton resonacesspectrum eigenvalues
Soliton equations (35Q51) Initial value problems for nonlinear higher-order PDEs (35G25) Soliton solutions (35C08)
Related Items (3)
Cites Work
- Unnamed Item
- Symbolic methods to construct exact solutions of nonlinear partial differential equations
- Positive and negative hierarchies of integrable lattice models associated with a Hamiltonian pair
- Multiple soliton solutions for a \((2 + 1)\)-dimensional integrable KdV6 equation
- Kadomtsev-Petviashvili hierarchy: \(N\)-soliton solutions and distinct dispersion relations
- The Hirota's direct method for multiple-soliton solutions for three model equations of shallow water waves
- Multiple-lump waves for a (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation arising from incompressible fluid
- Rogue breathers and rogue lumps on a background of dark line solitons for the Maccari system
- Bifurcation solitons and breathers for the nonlocal Boussinesq equations
- A complex short pulse system in optical-fiber communications: rogue waves and phase transitions
- Application of Hirota operators for controlling soliton interactions for Bose-Einstein condensate and quintic derivative nonlinear Schrödinger equation
- Dispersive optical solitons along with integrability test and one soliton transformation for saturable cubic-quintic nonlinear media with nonlinear dispersion
- Soliton molecules in Sharma-Tasso-Olver-Burgers equation
- Loop-like kink breather and its transition phenomena for the Vakhnenko equation arising from high-frequency wave propagation in electromagnetic physics
- Novel bifurcation solitons for an extended Kadomtsev-Petviashvili equation in fluids
- Painlevé analysis and invariant solutions of generalized fifth-order nonlinear integrable equation
- Painlevé test for some \((2+1)\)-dimensional nonlinear equations
- A new (3+1)-dimensional Kadomtsev-Petviashvili equation and its integrability, multiple-solitons, breathers and lump waves
- Algebraic integrability of planar polynomial vector fields by extension to Hirzebruch surfaces
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- A new integrable equation with cuspons and W/M-shape-peaks solitons
- Soliton Solutions of the KP Equation and Application to Shallow Water Waves
- The Short Pulse Equation Is Integrable
- N-solitons, breathers and rogue waves for a generalized Boussinesq equation
- A new Painleve-integrable equation possessing KdV-type solitons
- Dynamics of localized wave solutions for the coupled Higgs field equation
- Interaction dynamics of hybrid solitons and breathers for extended generalization of Vakhnenko equation
- \(N\)-order rogue waves and their novel colliding dynamics for a transient stimulated Raman scattering system arising from nonlinear optics
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