Results 101 to 110 of about 3,706 (195)

Exact and numerical optical soliton solutions of the fractional quadratic-cubic nonlinear Schrödinger equation in conformable derivative framework. [PDF]

Sci Rep
Amer A, Jaradat EK, Rehman HU, Yildirim Y, Abu Alrub S, Ateto MS.   +5 more
europepmc   +1 more source

Exact noise influenced soliton solutions of a high-order stochastic nonlinear Schrödinger equation with weak nonlocal nonlinearity in a non-Kerr medium. [PDF]

Sci Rep
Ali MH, Ahmed HM, Alkhatib S, Ramadan ME, Samir I, Ahmed KK.   +5 more
europepmc   +1 more source

A hybrid analytical-machine learning framework for data-driven modeling of soliton solutions in the complex Ginzburg-Landau equation. [PDF]

Sci Prog
Muhammad J, Tedjani AH, Yao F, Younas U.
europepmc   +1 more source

Stability analysis and exploration of multiform soliton solutions for extended fractional NLS model using modified extended direct algebraic method. [PDF]

Sci Rep
Soliman M, Ramadan ME, Alkhatib S, Ahmed HM.   +3 more
europepmc   +1 more source

Bifurcation analysis and soliton solutions of the generalized third-order nonlinear Schrödinger equation using two analytical approaches. [PDF]

Sci Rep
Parveen S, Abbas M, Nazir T, Anwar MN, Alharthi MR, Yousaf MZ, Birhanu A.   +6 more
europepmc   +1 more source

Bifurcation analysis and exploration of new optical soliton solutions in parabolic law medium with weak non-local nonlinearity. [PDF]

Sci Rep
Ali KK, Siddique I, Baloch SA, Saqib I, Bayram M, Abdullaeva B.   +5 more
europepmc   +1 more source

A unified concatenation model for plasma physics: Integrability and soliton solutions. [PDF]

MethodsX
Zayed EME, El-Shater M, Arnous AH, Biswas A.   +3 more
europepmc   +1 more source

Soliton solutions for a quasilinear Schrödinger equation

Electronic Journal of Differential Equations, 2013
Summary: Critical point theory is used to show the existence of nontrivial weak solutions to the quasilinear Schrödinger equation \[ -\Delta_p u-\frac{p}{2^{p-1}}u\Delta_p(u^2)=f(x,u) \] in a bounded smooth domain \(\Omega\subset\mathbb{R}^{N}\) with Dirichlet boundary conditions.
openaire   +2 more sources

A unified framework for deriving and visualizing soliton solutions in the paraxial nonlinear Schrödinger equation. [PDF]

Sci Rep
Khabyah AA, Ahmad A, Koam ANA, Almarashi A, Othman HA.   +4 more
europepmc   +1 more source

Modulation instability analysis and deriving soliton solutions of new nonlocal Lakshmanan-Porserzian-Daniel equation. [PDF]

Sci Rep
Rabie WB, Abbas W, Ramadan ME, Ahmed HM.
europepmc   +1 more source