Nonlocal-derivative NLS equations and group-invariant soliton solutions (Q2057489)

scientific article; zbMATH DE number 7439340

Language	Label	Description	Also known as
English	Nonlocal-derivative NLS equations and group-invariant soliton solutions	scientific article; zbMATH DE number 7439340

Statements

instance of

scholarly article

0 references

title

Nonlocal-derivative NLS equations and group-invariant soliton solutions (English)

0 references

published in

Advances in Difference Equations

0 references

publication date

6 December 2021

0 references

zbMATH Keywords

nonlocal-derivative NLS equation

0 references

bilinear method

0 references

exact solutions

0 references

soliton

0 references

0 references

0 references

0 references

full work available at URL

https://doi.org/10.1186/s13662-020-2530-5

0 references

cites work

Exact \(P_sT_d\) invariant and \(P_sT_d\) symmetric breaking solutions, symmetry reductions and Bäcklund transformations for an AB-KdV system

0 references

Prohibitions caused by nonlocality for nonlocal Boussinesq‐KdV type systems

0 references

Coherent structure of Alice-Bob modified Korteweg de-Vries equation

0 references

Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation

0 references

Soliton solutions of an integrable nonlocal modified Korteweg-de Vries equation through inverse scattering transform

0 references

Alice-Bob systems, P^-T^-Ĉ symmetry invariant and symmetry breaking soliton solutions

0 references

Nonlocal symmetry and similarity reductions for the Drinfeld-Sokolov-Satsuma-Hirota system

0 references

Dynamics of rogue waves in the partially \(\mathcal{PT}\)-symmetric nonlocal Davey-Stewartson systems

0 references

Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation

0 references

Rational and Semirational Solutions of the Nonlocal Davey–Stewartson Equations

0 references

Integrable nonlocal vector nonlinear Schrödinger equation with self-induced parity-time-symmetric potential

0 references

Nonlocal symmetries of the Hirota-Satsuma coupled Korteweg-de Vries system and their applications: Exact interaction solutions and integrable hierarchy

0 references

Nonlinear Waves in Integrable and Nonintegrable Systems

0 references

Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics

0 references

Traveling wave solutions and conservation laws for nonlinear evolution equation

0 references

The new exact solitary wave solutions and stability analysis for the \((2+1)\)-dimensional Zakharov-Kuznetsov equation

0 references

Optical solitons and modulation instability analysis to the quadratic-cubic nonlinear Schrödinger equation

0 references

Dark–bright optical solitary waves and modulation instability analysis with (2 + 1)-dimensional cubic-quintic nonlinear Schrödinger equation

0 references

The Nehari manifold for a boundary value problem involving Riemann-Liouville fractional derivative

0 references

Extended Riemann-Liouville fractional derivative operator and its applications

0 references

Certain fractional integral operators and the generalized incomplete hypergeometric functions

0 references

Q4898801

0 references

Some inequalities involving Hadamard‐type k‐fractional integral operators

0 references

Q4745022

0 references

Bäcklund-Darboux transformations and discretizations of \(N=2a=-2\) supersymmetric KdV equation

0 references

Binary Darboux transformations of the supersymmetric Heisenberg magnet model

0 references

Nonlocal symmetries related to Bäcklund transformation and their applications

0 references

A Riemann-Hilbert approach to the Harry-Dym equation on the line

0 references

The Riemann-Hilbert problem and long-time asymptotics for the Kundu-Eckhaus equation with decaying initial value

0 references

A new fractal nonlinear Burgers' equation arising in the acoustic signals propagation

0 references

A new computational approach for solving nonlinear local fractional PDEs

0 references

EXACT TRAVELING-WAVE SOLUTIONS FOR ONE-DIMENSIONAL MODIFIED KORTEWEG–DE VRIES EQUATION DEFINED ON CANTOR SETS

0 references

Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations

0 references

On exact traveling-wave solutions for local fractional Korteweg-de Vries equation

0 references

Darboux transformation and multi-soliton solutions of local/nonlocal N-wave interactions

0 references

On a nonlocal modified Korteweg-de Vries equation: integrability, Darboux transformation and soliton solutions

0 references

Darboux transformation and analytic solutions of the discrete \(\mathcal{PT}\)-symmetric nonlocal nonlinear Schrödinger equation

0 references

Solutions of the nonlocal nonlinear Schrödinger hierarchy via reduction

0 references

Breathers and rogue waves for a third order nonlocal partial differential equation by a bilinear transformation

0 references

Solutions of Nonlocal Equations Reduced from the AKNS Hierarchy

0 references

Soliton Solutions of Wronskian Form to the Nonlocal Boussinesq Equation

0 references

Families of rational solutions of the \(y\)-nonlocal Davey-Stewartson II equation

0 references

N -Soliton Solutions of General Nonlinear Schrödinger Equation with Derivative

0 references

Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method

0 references

Identifiers

zbMATH Open document ID

1482.35219

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

10.1186/S13662-020-2530-5

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2057489