On the study of solitary wave dynamics and interaction phenomena in the ultrasound imaging modelled by the fractional nonlinear system. [PDF]
Younas U +5 more
europepmc +1 more source
Unveiling diverse solitons in the quintic perturbed Gerdjikov-Ivanov model via a modified extended mapping method. [PDF]
Hussein HH +3 more
europepmc +1 more source
Investigation on dynamical perspective of soliton solutions to the nonlinear integrable Akbota equation through a generalized analytical technique. [PDF]
Iqbal M +7 more
europepmc +1 more source
Lagrangian multiforms and dispersionless integrable systems. [PDF]
Ferapontov EV, Vermeeren M.
europepmc +1 more source
Impact of Brownian motion on the optical soliton solutions for the three component nonlinear Schrödinger equation. [PDF]
Baber MZ +5 more
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Darboux transformation and explicit solutions for two integrable equations
A new N-fold Darboux transformation for two integrable equations is constructed with the help of a gauge transformation for the spectral problem proposed by Qiao [Z.J. Qiao, Phys. Lett. A 192 (1994) 316–322].
Zhijun Qiao
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The Darboux transformation of some Manakov systems
The Darboux transformation is explicitly constructed for a coupled system of an arbitrary number of focusing or defocusing nonlinear Schrödinger fields with cubic nonlinearity (i.e., a Manakov system with an arbitrary number of fields).
Wright, O.C
exaly +3 more sources
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Darboux transformations for “W-problems”
Physica D: Nonlinear Phenomena, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Steudel, H., Meinel, R.
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On the Darboux Transformation. I
gmj, 1995Abstract Automorphisms of the family of all Sturm-Liouville equations y″ = qy are investigated. The classical Darboux transformation arises as a particular case of a general result.
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The Heun Equation and the Darboux Transformation
Mathematical Notes, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sirota, Yu. N., Smirnov, A. O.
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