Letter to the Editor on the Korteweg-de Vries-type systems inspired by Results Phys. 51, 106624 (2023) and 50, 106566 (2023)
Xin-Yi Gao
Abstract
Results Phys. 51, 106624 (2023) and 50, 106566 (2023) have recently made some outstanding contributions to the studies of the Korteweg–de Vries (KdV)-type systems. Inspired by those contributions, around a noncharacteristic movable singular manifold, this Letter works out two sets of the auto-Bäcklund transformations for an enlarged three-coupled KdV system, along with some solitons. All of our results rely on the coefficients in that system.
Topics & Concepts
Korteweg–de Vries equationType (biology)Manifold (fluid mechanics)Mathematical physicsPhysicsMathematicsApplied mathematicsNonlinear systemEngineeringQuantum mechanicsEcologyBiologyMechanical engineeringNonlinear Waves and SolitonsAlgebraic structures and combinatorial modelsNonlinear Photonic Systems