Modelling of KdV-soliton through fractional action and emergence of lump waves (Q6635498)

scientific article; zbMATH DE number 7941261

Language	Label	Description	Also known as
English	Modelling of KdV-soliton through fractional action and emergence of lump waves	scientific article; zbMATH DE number 7941261

Statements

instance of

scholarly article

0 references

title

Modelling of KdV-soliton through fractional action and emergence of lump waves (English)

0 references

author

Ahmad Rami El-Nabulsi

0 references

published in

Qualitative Theory of Dynamical Systems

0 references

publication date

12 November 2024

0 references

zbMATH Keywords

Meijer-G function

0 references

fractional action

0 references

periodic damping

0 references

soliton-like solutions

0 references

modified KdV equations

0 references

lump

0 references

MaRDI profile type

Publication

0 references

cites work

Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

0 references

Q2735592

0 references

Formulation of Euler-Lagrange equations for fractional variational problems

0 references

On exact solutions of a class of fractional Euler-Lagrange equations

0 references

Variational problems with fractional derivatives: invariance conditions and Nöther's theorem

0 references

Fractional variational calculus and the transversality conditions

0 references

A fractional calculus of variations for multiple integrals with application to vibrating string

0 references

Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives

0 references

Noether's theorem for fractional variational problem from El-Nabulsi extended exponentially fractional integral in phase space

0 references

Perturbation to Noether symmetries and adiabatic invariants for disturbed Hamiltonian systems based on El-Nabulsi nonconservative dynamics model

0 references

Conserved quantities and adiabatic invariants for El-Nabulsi's fractional Birkhoff system

0 references

Noether's theorem for fractional Birkhoffian system of Herglotz type with time delay

0 references

Fractional Noether's theorem with classical and Caputo derivatives: constants of motion for non-conservative systems

0 references

A formulation of Noether's theorem for fractional problems of the calculus of variations

0 references

Q3369889

0 references

Fractional actionlike variational problems

0 references

Necessary optimality conditions for fractional action‐like integrals of variational calculus with Riemann–Liouville derivatives of order (α, β)

0 references

Fractional action-like variational problems in holonomic, non-holonomic and semi-holonomic constrained and dissipative dynamical systems

0 references

Path integral formulation of fractionally perturbed Lagrangian oscillators on fractal

0 references

Non-standard fractional Lagrangians

0 references

Fractional action cosmology with variable order parameter

0 references

On fractional and fractal Einstein’s field equations

0 references

A formulation of the fractional Noether-type theorem for multidimensional Lagrangians

0 references

Variational calculus involving nonlocal fractional derivative with Mittag-Leffler kernel

0 references

Fractional calculus in abstract space and its application in fractional Dirichlet type problems

0 references

Fractional calculus approach for the phase dynamics of Josephson junction

0 references

A review of applications of fractional calculus in Earth system dynamics

0 references

Numerical approximations on the transient analysis of bioelectric phenomena at long time scales via the Mittag-Leffler function

0 references

Q4649595

0 references

Fractional complexified field theory from Saxena-Kumbhat fractional integral, fractional derivative of order (\(\alpha, \beta\)) and dynamical fractional integral exponent

0 references

Saigo-Maeda operators involving the Appell function, real spectra from symmetric quantum Hamiltonians and violation of the second law of thermodynamics for quantum damped oscillators

0 references

Glaeske-Kilbas-Saigo fractional integration and fractional Dixmier trace

0 references

Fractional variational problems from extended exponentially fractional integral

0 references

A periodic functional approach to the calculus of variations and the problem of time-dependent damped harmonic oscillators

0 references

Q4282622

0 references

Q4321403

0 references

Fractional calculus operators of special functions? The result is well predictable!

0 references

Use of fractional calculus to evaluate some improper integrals of special functions

0 references

Q3744488

0 references

Meijer G-Functions: A Gentle Introduction

0 references

The H-Function

0 references

A linear differential equation with a time-periodic damping coefficient: Stability diagram and an application

0 references

Q5546658

0 references

The damped Mathieu equation

0 references

Q3995225

0 references

Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion

0 references

Fractal structure of the soliton scattering for the graphene superlattice equation

0 references

Q4431283

0 references

Q4154814

0 references

Fractal diffusion from a geometric Ricci flow

0 references

Time-space fabric underlying anomalous diffusion

0 references

Anomalous diffusion modeling by fractal and fractional derivatives

0 references

A tutorial review on fractal spacetime and fractional calculus

0 references

Q2897928

0 references

Solitary wave solution for the generalized KdV equation with time-dependent damping and dispersion

0 references

Exact Linearization and Invariant Solutions of the Generalized Burgers Equation with Linear Damping and Variable Viscosity

0 references

Variable coefficient KdV equation with time-dependent variable coefficient topographic forcing term and atmospheric blocking

0 references

1-soliton solution of the \(K(m,n)\) equation with generalized evolution and time-dependent damping and dispersion

0 references

New soliton-like solutions for KdV equation with variable coefficient

0 references

Q3732103

0 references

Q3925229

0 references

Decay of Kadomtsev-Petviashvili lumps in dissipative media

0 references

New lump, lump-kink, breather waves and other interaction solutions to the (3+1)-dimensional soliton equation

0 references

Soliton and lump-soliton solutions in the Grammian form for the Bogoyavlenskii-Kadomtsev-Petviashvili equation

0 references

Lump solitons and the interaction phenomena of them for two classes of nonlinear evolution equations

0 references

Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time

0 references

Soliton dynamics of a high-density Bose-Einstein condensate subject to a time varying anharmonic trap

0 references

Korteweg-de Vries and nonlinear Schrödinger equations: qualitative theory

0 references

Damping of large-amplitude solitary waves

0 references

New solitons and periodic wave solutions for some nonlinear physical models by using the sine–cosine method

0 references

A note on the strong convergence towards attractors of damped forced KdV equations

0 references

Numerical study of a family of dissipative KdV equations

0 references

On damping rates of dissipative KdV equations

0 references

Decay of solutions of some nonlinear wave equations

0 references

Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order

0 references

STUDY OF NONLINEAR HIROTA–SATSUMA COUPLED KdV AND COUPLED mKdV SYSTEM WITH TIME FRACTIONAL DERIVATIVE

0 references

VARIATIONAL PRINCIPLE FOR A GENERALIZED KdV EQUATION IN A FRACTAL SPACE

0 references

Nonautonomous soliton solutions for a nonintegrable Korteweg-de Vries equation with variable coefficients by the variational approach

0 references

Behavior of analytical schemes with non-paraxial pulse propagation to the cubic-quintic nonlinear Helmholtz equation

0 references

Chirped optical solitons and stability analysis of the nonlinear Schrödinger equation with nonlinear chromatic dispersion

0 references

Dynamics of optical solitons in the extended \((3+1)\)-dimensional nonlinear conformable Kudryashov equation with generalized anti-cubic nonlinearity

0 references

Fractional order Alpert multiwavelets for discretizing delay fractional differential equation of pantograph type

0 references

Multiple soliton solutions of the generalized Hirota-Satsuma-Ito equation arising in shallow water wave

0 references

N-lump and interaction solutions of localized waves to the (2+1)-dimensional generalized KDKK equation

0 references

Novel closed-form analytical solutions and modulation instability spectrum induced by the Salerno equation describing nonlinear discrete electrical lattice via symbolic computation

0 references

Identifiers

DOI

10.1007/s12346-024-01141-6

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6635498