Stripe solitons and lump solutions for a generalized Kadomtsev-Petviashvili equation with variable coefficients in fluid mechanics
From MaRDI portal
Publication:783433
DOI10.1007/s11071-019-04770-8zbMath1437.35583OpenAlexW2913642770WikidataQ128544338 ScholiaQ128544338MaRDI QIDQ783433
Publication date: 4 August 2020
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-019-04770-8
PDEs in connection with fluid mechanics (35Q35) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)
Related Items (13)
Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber ⋮ Analytical and numerical simulations for the kinetics of phase separation in iron (Fe-CR-X (X=Mo,Cu)) based on ternary alloys ⋮ Interaction solutions of a variable-coefficient Kadomtsev-Petviashvili equation with self-consistent sources ⋮ Nonlinear dynamics for different nonautonomous wave structures solutions of a (4+1)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics ⋮ Ultra-short optical pulses in a birefringent fiber via a generalized coupled Hirota system with the singular manifold and symbolic computation ⋮ N-SOLITON, BREATHER, LUMP SOLUTIONS AND DIVERSE TRAVELING WAVE SOLUTIONS OF THE FRACTIONAL (2 + 1)-DIMENSIONAL BOUSSINESQ EQUATION ⋮ Various exact analytical solutions of a variable-coefficient Kadomtsev-Petviashvili equation ⋮ Nonlinear superposition between lump waves and other nonlinear waves of the (2+1)-dimensional extended Korteweg-de Vries equation ⋮ Lump wave solutions, lump-stripe soliton inelastic collision phenomena and rogue-type wave solutions for a generalized breaking soliton system in \((3+1)\)-dimensions ⋮ Exact periodic cross-kink wave solutions for the \((2+1)\)-dimensional Korteweg-de Vries equation ⋮ Variable-coefficient symbolic computation approach for finding multiple rogue wave solutions of nonlinear system with variable coefficients ⋮ Rational wave solutions to a generalized (2+1)-dimensional Hirota bilinear equation ⋮ Darboux transformation, localized waves and conservation laws for an \(M\)-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber
Cites Work
- Unnamed Item
- Painlevé analysis for a new integrable equation combining the modified Calogero-Bogoyavlenskii-Schiff (MCBS) equation with its negative-order form
- New \((3+1)\)-dimensional equations of Burgers type and Sharma-Tasso-Olver type: multiple-soliton solutions
- Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
- Multi-soliton solutions for a \((2+1)\)-dimensional variable-coefficient nonlinear Schrödinger equation
- Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation
- Abundant lumps and their interaction solutions of \((3+1)\)-dimensional linear PDEs
- Bäcklund transformation, rogue wave solutions and interaction phenomena for a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili-Boussinesq equation
- Interaction behaviors for the \((2+1)\)-dimensional Sawada-Kotera equation
- Negative-order integrable modified KdV equations of higher orders
- Determinant solutions to a \((3+1)\)-dimensional generalized KP equation with variable coefficients
- Bilinear Bäcklund transformations, kink periodic solitary wave and lump wave solutions of the Bogoyavlenskii-Kadomtsev-Petviashvili equation
- Analyzing the combined multi-waves polynomial solutions in a two-layer-liquid medium
- Interaction of multi-lumps within the Kadomtsev-Petviashvili equation
- Lump solutions of a generalized Calogero-Bogoyavlenskii-Schiff equation
- Lump solutions to the Kadomtsev-Petviashvili equation
- Interaction of two lump solitons described by the Kadomtsev-Petviashvili equation
- A two-mode modified KdV equation with multiple soliton solutions
- Solitons for a \((2+1)\)-dimensional Sawada-Kotera equation via the Wronskian technique
- Compact and noncompact physical structures for the ZK-BBM equation
- A new integrable equation that combines the KdV equation with the negative-order KdV equation
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- A Pair of Resonance Stripe Solitons and Lump Solutions to a Reduced (3+1)-Dimensional Nonlinear Evolution Equation
- Interaction of lumps with a line soliton for the DSII equation
This page was built for publication: Stripe solitons and lump solutions for a generalized Kadomtsev-Petviashvili equation with variable coefficients in fluid mechanics