Interaction behaviors between solitons, breathers and their hybrid forms for a short pulse equation
From MaRDI portal
Publication:6113185
DOI10.1007/s12346-023-00844-6zbMath1522.35143MaRDI QIDQ6113185
Publication date: 8 August 2023
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
breatherbilinear methodinteraction behaviorshybrid formshort pulse equation (SPE)stripe-loop-like soliton
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A note on loop-soliton solutions of the short-pulse equation
- On the propagation of solitons in ferrites: the inverse scattering approach
- Self-adaptive moving mesh schemes for short pulse type equations and their Lax pairs
- A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation
- The \(N\)-loop soliton solutions for \((2+1)\)-dimensional Vakhnenko equation
- The exact rogue wave recurrence in the NLS periodic setting via matched asymptotic expansions, for 1 and 2 unstable modes
- Periodic and solitary-wave solutions of the Degasperis-Procesi equation
- Bifurcation solitons and breathers for the nonlocal Boussinesq equations
- Breathers, cascading instabilities and Fermi-Pasta-Ulam-Tsingou recurrence of the derivative nonlinear Schrödinger equation: effects of `self-steepening' nonlinearity
- Kraenkel-Manna-Merle saturated ferromagnetic system: Darboux transformation and loop-like soliton excitations
- The Fermi-Pasta-Ulam-Tsingou recurrence for discrete systems: cascading mechanism and machine learning for the Ablowitz-Ladik equation
- Novel interaction phenomena of localized waves in the generalized (3+1)-dimensional KP equation
- Loop-like kink breather and its transition phenomena for the Vakhnenko equation arising from high-frequency wave propagation in electromagnetic physics
- Evolution of breathers and interaction between high-order lump solutions and \(N\)-solitons (\(N \rightarrow \infty\)) for breaking soliton system
- Novel exact solutions to the short pulse equation
- A robust numerical integrator for the short pulse equation near criticality
- Symbolic computation of exact solutions for a nonlinear evolution equation
- Breather solutions in the diffraction managed NLS equation
- Extended generalized Darboux transformation to hybrid rogue wave and breather solutions for a nonlinear Schrödinger equation
- A new (3+1)-dimensional Kadomtsev-Petviashvili equation and its integrability, multiple-solitons, breathers and lump waves
- Interaction properties between rogue wave and breathers to the Manakov system arising from stationary self-focusing electromagnetic systems
- Hybrid soliton and breather waves, solution molecules and breather molecules of a \((3+1)\)-dimensional Geng equation in shallow water waves
- Breather and interaction solutions for a \((3+1)\)-dimensional generalized shallow water wave equation
- Studies of Existence and Stability of Circularly Polarized Few-Cycle Solitons Beyond the Slowly-Varying Envelope Approximation
- Ultra-short pulses in linear and nonlinear media
- Discrete integrable systems and hodograph transformations arising from motions of discrete plane curves
- An integrable coupled short pulse equation
- A New Form of Backlund Transformations and Its Relation to the Inverse Scattering Problem
- Global Well-Posedness of the Short-Pulse and Sine–Gordon Equations in Energy Space
- The loop rogue wave solutions for the Wadati–Konno–Ichikawa equation
- Hybrid breather and rogue wave solution for a (2 + 1)-dimensional ferromagnetic spin chain system with variable coefficients
- The determinant representation of an N-fold Darboux transformation for the short pulse equation
- Integrable discretizations of the short pulse equation
- Solitary wave solutions of the short pulse equation
- Exact envelope-soliton solutions of a nonlinear wave equation
- Interaction dynamics of hybrid solitons and breathers for extended generalization of Vakhnenko equation
- Lump-type solution and breather lump-kink interaction phenomena to a \(( 3+1)\)-dimensional GBK equation based on trilinear form