Results 131 to 140 of about 2,294,985 (248)

Solutions to the Sine-Gordon Equation: From Darboux Transformations to Wronskian Representations of the k-Negaton-l-Positon-n-Soliton Solutions

Axioms
With a specific Darboux transformation, we construct solutions to the sine-Gordon equation. We use both the simple Darboux transformation as well as the multiple Darboux transformation, which enables the obtainment of compact solutions of this equation ...
Pierre Gaillard
doaj   +1 more source

DRESSING OF ZERO-RANGE POTENTIALS INTO REALISTIC MOLECULAR POTENTIALS OF FINITE RANGE

TASK Quarterly, 2010
The zero-range potentials of the radial Schrodinger equation and their dressing are investigated. A sequence of Darboux transformations involving a set of parameters yields solvable potentials of a finite-range with physically meaningful properties.
SERGEY B. LEBLE, DMITRY V. PONOMAREV
doaj  

Stochastic Dynamics and Control in Nonlinear Waves with Darboux Transformations, Quasi-Periodic Behavior, and Noise-Induced Transitions

Mathematics
Stochastically forced nonlinear wave systems are commonly associated with complex dynamical behavior, although little is known about the general interaction of nonlinear dispersion, irrational forcing frequencies, and multiplicative noise.
Adil Jhangeer, Mudassar Imran
doaj   +1 more source

Different Approaches To Ruled Surfaces

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2012
Abstarct: In this study, surfaces are defined by using dual vectors and line transformations. A new approach is given for the transformation of parametrically surfaces.
Yusuf Yaylı, Semra Saraçoğlu
doaj  

Symmetry Transformations of a Nonlinear Model of Optical Wave Transmission

Axioms
The full symmetry group is found for a system of nonlinear schrödinger equations describing the propagation of optical pulses in an isotropic media.
Jean-Claude Ndogmo, Emmanuel Mayombo Mbala, Mensah Kekeli Folly-Gbetoula   +2 more
doaj   +1 more source

Isospectral property of double Darboux transformation

, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Urakubo, Masami, Ohmiya, Mayumi
openaire   +4 more sources

Comparative Study of Oscillator Dynamics Under Deterministic and Stochastic Influences with Soliton Robustness Darboux Transformations and Chaos Transition

Computation
This paper presents a comprehensive study of nonlinear wave and oscillator dynamics under both deterministic and stochastic influences. By comparing soliton-like and dispersive waveforms, we employ spectral solvers, Darboux transformations, and nonlinear
Maham Munawar, Adil Jhangeer, Mudassar Imran   +2 more
doaj   +1 more source

Smooth and Discrete Cone-Nets. [PDF]

Results Math, 2023
Kilian M, Müller C, Tervooren J.
europepmc   +1 more source

B\"{a}cklund and Darboux transformations for the nonstationary Schr\"{o}dinger equation

, 1999
Potentials of the nonstationary Schr\"{o}dinger operator constructed by means of $n$ recursive B\"{a}cklund transformations are studied in detail. Corresponding Darboux transformations of the Jost solutions are introduced.
Boiti, M., Pempinelli, F., Pogrebkov, A., Prinari, B.   +3 more
core  

On some nondecaying potentials and related Jost solutions for the heat conduction equation

, 2000
Potentials of the heat conduction operator constructed by means of 2 binary Backlund transformations are studied in detail. Corresponding Darboux transformations of the Jost solutions are introduced.
Prinari, B.
core