Results 111 to 120 of about 452 (186)

Soliton dynamics and stability in resonant nonlinear Schrödinger systems with cubic quintic effects via enhanced modified extended tanh function method. [PDF]

Sci Rep
Tarek A, Ahmed HM, Badra N, Samir I.
europepmc   +1 more source

Symmetries and integrable systems. [PDF]

Fundam Res
Lou SY, Feng BF.
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

Mock Modularity at Work, or Black Holes in a Forest. [PDF]

Entropy (Basel)
Alexandrov S.
europepmc   +1 more source

Long-Time Dynamics for the Kelvin-Helmholtz Equations Close to Circular Vortex Sheets. [PDF]

Arch Ration Mech Anal
Murgante F, Roulley E, Scrobogna S.
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Stochastic and Statistical Analysis of Cnoidal, Snoidal, Dnoidal, Hyperbolic, Trigonometric and Exponential Wave Solutions of a Coupled Volatility Option-Pricing System. [PDF]

Entropy (Basel)
Abdalgadir LM, Ahmad S, Youniso B, Aldwoah K.   +3 more
europepmc   +1 more source

Modulational instability and associated multiple dark solitons in relativistically degenerate electron-positron-ion plasmas. [PDF]

Sci Rep
Jahangir R, Masood W, Siddiq M, Batool N, Ullah S, Al-Ghamdi H, Tiofack CGL, El-Tantawy SA.   +7 more
europepmc   +1 more source

Exact soliton, lump, and breather solutions of the (3 + 1)-dimensional Jimbo-Miwa equation via the bilinear neural network method. [PDF]

Sci Rep
Hussein HH, Mekawey H, Elsheikh A.
europepmc   +1 more source

Geometric and singularities insights of swept surfaces via the Bishop frame in Euclidean 3-Space. [PDF]

PLoS One
Mofarreh F, Abdel-Baky R, Alsahli M.
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Darboux Transformation and A-operator

Darboux Transformation and A-operator
Firstly, the fundamental equality of Darboux transformation of the differential operator H(u)=-∂^2+u is proved based on the Kupershmidt-Wilson factorization of the associated ∧-operator ∧(u)=∂^・(2^u'+u∂-4^∂^3). Secondly, elementary algebraic properties of the Darboux transformation are studied with the aid of ∧-operator.
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