Exact solutions of the nonlocal Hirota equations
From MaRDI portal
Publication:1739447
DOI10.1016/j.aml.2019.01.038zbMath1412.35046OpenAlexW2912321299MaRDI QIDQ1739447
Publication date: 26 April 2019
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2019.01.038
Solutions to PDEs in closed form (35C05) Initial value problems for systems of nonlinear higher-order PDEs (35G55)
Related Items (16)
Rational solutions and their interactions with kink and periodic waves for a nonlinear dynamical phenomenon ⋮ Analytical insights into a generalized semidiscrete system with time-varying coefficients: derivation, exact solutions, and nonlinear soliton dynamics ⋮ On two new types of modified short pulse equation ⋮ Bäcklund transformations, symmetry reductions and exact solutions of (2+1)-dimensional nonlocal DS equations ⋮ Rogue wave solutions for a higher-order nonlinear Schrödinger equation in an optical fiber ⋮ Poisson structure and action-angle variables for the Hirota equation ⋮ Exact solutions and Darboux transformation for the reverse space-time nonlocal Lakshmanan-Porsezian-Daniel equation ⋮ Multi-soliton solutions for the three types of nonlocal Hirota equations via Riemann–Hilbert approach ⋮ Deformed breather and rogue waves for the inhomogeneous fourth-order nonlinear Schrödinger equation in alpha-helical proteins ⋮ Vector rational and semi-rational rogue waves for the coupled cubic-quintic nonlinear Schrödinger system in a non-Kerr medium ⋮ Existence results of multiple solutions for a \(2n\)th-order finite difference equation ⋮ Breathing-soliton and singular rogue wave solutions for a discrete nonlocal coupled Ablowitz-Ladik equation of reverse-space type ⋮ Superposition of the coupled NLS and MKdV systems ⋮ Stable transmission of solitons in the complex cubic-quintic Ginzburg-Landau equation with nonlinear gain and higher-order effects ⋮ Soliton molecules and some novel types of hybrid solutions to \((2+1)\)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation ⋮ Dynamics of discrete soliton propagation and elastic interaction in a higher-order coupled Ablowitz-Ladik equation
Cites Work
- Unnamed Item
- Unnamed Item
- Solitons and Bäcklund transformation for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics
- Macroscopic lattice dynamics
- Nonstandard bilinearization of \(\mathcal{PT}\)-invariant nonlocal nonlinear Schrödinger equation: bright soliton solutions
- Collisions between the dark solitons for a nonlinear system in the geophysical fluid
- Exact solutions of the Hirota equation and vortex filaments motion
- Complex Extension of Quantum Mechanics
- Double Wronskian Solutions for a Generalized Nonautonomous Nonlinear Equation in a Nonlinear Inhomogeneous Fiber
- A high-order spectral method for the study of nonlinear gravity waves
- Nonlocal nonlinear Schrödinger equations and their soliton solutions
This page was built for publication: Exact solutions of the nonlocal Hirota equations
