Space-Curved Resonant Line Solitons in a Generalized (2 + 1)-Dimensional Fifth-Order KdV System
Zequn Qi, Zhao Zhang, Biao Li
Abstract
On the basis of N -soliton solutions, space-curved resonant line solitons are derived via a new constraint proposed here, for a generalized (2+1)-dimensional fifth-order KdV system. The dynamic properties of these new resonant line solitons are studied in detail. We then discuss the interaction between a resonance line soliton and a lump wave in greater detail. Our results highlight the distinctions between the generalized (2+1)-dimensional fifth-order KdV system and the classical type.
Topics & Concepts
Korteweg–de Vries equationSolitonPhysicsLine (geometry)Space (punctuation)Order (exchange)Constraint (computer-aided design)Resonance (particle physics)Type (biology)Basis (linear algebra)Real lineMathematical physicsClassical mechanicsMathematical analysisNonlinear systemQuantum mechanicsMathematicsComputer scienceGeometryEconomicsBiologyOperating systemEcologyFinanceNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Fiber Laser Technologies