Search Results - "Darboux transformations"

Discrete Constant Mean Curvature Cylinders and Isothermic Tori.

Authors: Cho, Joseph Leschke, Katrin Ogata, Yuta

Source: Discrete & Computational Geometry. Apr2026, Vol. 75 Issue 3, p995-1025. 31p.

Subjects: Darboux transformations, Parameterization, Integrable systems

Higher-order smooth profiles and breather-positon phenomena in the Kuralay equation.

Authors: Alammari, Maha Yasir, Muhammad Manukure, Solomon

Source: AIMS Mathematics. 2026, Vol. 11 Issue 4, p1-15. 15p.

DARBOUX TRANSFORMATION AND N^th ITERATION ANALYTICAL SOLUTIONS OF A NEW NON-LOCAL COUPLED NON-LINEAR SCHRODINGER EQUATIONS.

Authors: YANG, Yanni ZHANG, Sheng

Source: Thermal Science. 2026, Vol. 30 Issue 2A, p825-835. 11p.

Subjects: Darboux transformations, Analytical solutions, Iterative methods (Mathematics), Partial differential equations, Integrable systems, Lax pair, T-symmetry

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

Authors: Jhangeer, Adil Imran, Mudassar

Source: Mathematics (2227-7390). Jan2026, Vol. 14 Issue 2, p251. 44p.

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

Authors: Gaillard, Pierre¹ (AUTHOR)

Source: Axioms (2075-1680). Jan2026, Vol. 15 Issue 1, p42. 25p.

Darboux and generalized Darboux transformations for the fractional integrable derivative nonlinear Schrödinger equation.

Authors: Zhang, Sheng Zhang, Yuying Xu, Bo et al.

Source: International Journal of Geometric Methods in Modern Physics. Jan2026, Vol. 23 Issue 1, p1-28. 28p.

Recurrence Relations of Exceptional Laurent Biorthogonal Polynomials.

Authors: Luo, Yu Tsujimoto, Satoshi Yang, Hao

Source: Constructive Approximation. Dec2025, Vol. 62 Issue 3, p613-644. 32p.

Double Wronskian Representation of the Nth-Order Solutions to the Davey–Stewartson Equations.

Authors: Gaillard, Pierre¹ (AUTHOR)

Source: Axioms (2075-1680). Nov2025, Vol. 14 Issue 11, p799. 11p.

Double breather and peak solitons of a semi discrete short pulse equation.

Authors: Amjad, Zeeshan Ma, Wen-Xiu Zulqarnain, Rana Muhammad

Source: Reviews in Mathematical Physics. Nov2025, Vol. 37 Issue 10, p1-21. 21p.

Dynamics of novel positons in a high-dimensional Heisenberg ferromagnet through Darboux transformation.

Authors: Rahman, Riaz Ur Li, Zaidong He, Jingsong

Source: Journal of Physics A: Mathematical & Theoretical. 2026, Vol. 59 Issue 24, p1-20. 20p.

Subjects: Darboux transformations, Heisenberg model, Solitons, Spin excitations

Generalized supersymmetric coupled integrable system and soliton solutions.

Authors: Mirza, Arifa ul Hassan, Mahmood

Source: Reviews in Mathematical Physics. May2026, Vol. 38 Issue 4, p1-10. 10p.

Subjects: Darboux transformations, Solitons, Lie groups, Integrable systems

Confluent Darboux Transformations and Wronskians for Algebraic Solutions of the Painlevé III (D 7) Equation.

Authors: Harrow, Joe W. E. Hone, Andrew N. W.

Source: Mathematics (2227-7390). Jul2025, Vol. 13 Issue 14, p2236. 38p.

On aspect of integrability, soliton, breather and positon solutions for the non-autonomous perturbed Gardner equation via Darboux transformation.

Authors: Roy, Subrata Barman, Ranjan Raut, Santanu

Source: Nonlinear Dynamics. Jul2025, Vol. 113 Issue 14, p18503-18526. 24p.

Solitons, breathers and rogue waves in a reverse time nonlocal generalized nonlinear Schrödinger equation with four-wave mixing effect.

Authors: Wang, Junyan Li, Yihao Wei, Jiao

Source: Nonlinear Dynamics. Jul2025, Vol. 113 Issue 14, p18485-18502. 18p.

The Darboux Matrices With a Single Multiple Pole and Their Applications.

Authors: Li, Yu‐Yue Wang, Deng‐Shan

Source: Studies in Applied Mathematics. Apr2025, Vol. 154 Issue 4, p1-33. 33p.

Subjects: Darboux transformations, Nonlinear Schrödinger equation, Lax pair

Semi discrete Konno–Oono system: Integrable lattice formulations, Bäcklund transformation, and Liouville-type reduction.

Authors: Tipu, Ghulam Hussain Riaz, H. W. A. Yao, Fengping et al.

Source: Modern Physics Letters B. 3/30/2026, Vol. 40 Issue 9, p1-22. 22p.

Subjects: Bäcklund transformations, Darboux transformations, Solitons, Difference equations, Integrable systems

Exploring supersymmetric negative order AKNS equation: Darboux transformation and multi-soliton solutions.

Authors: Amjad, Zeeshan Khalid, Rabia Haider, Bushra et al.

Source: Modern Physics Letters A. 1/10/2026, Vol. 41 Issue 1, p1-12. 12p.

Subjects: Supersymmetry, Darboux transformations, Supergravity, Solitons

Localized wave solutions in an integrable inhomogeneous lattice via generalized Darboux transformation: Localized wave solutions in an integrable: C.Yuan et al.

Authors: Yuan, Cuilian Liu, Wenjun Yang, Hujiang et al.

Source: Nonlinear Dynamics. Jun2025, Vol. 113 Issue 12, p15273-15293. 21p.

Nonautonomous solitons and breathers for the coupled variable-coefficient derivative nonlinear Schrödinger equation: Nonautonomous solitons and breathers for the coupled variable-coefficient: S. Wu et al.

Authors: Wu, Sen Ding, Cui Cui Li, Xian

Source: Nonlinear Dynamics. May2025, Vol. 113 Issue 9, p10277-10290. 14p.

Multiple tsunami waves of the fractional geophysical KdV equation.

Authors: Chatterjee, Prasanta Kanan Pal, Nanda N'Guérékata, Gaston M. et al.

Source: Applicable Analysis. May2025, Vol. 104 Issue 8, p1487-1507. 21p.