Painlevé analysis, auto-Bäcklund transformations, bilinear form and analytic solutions on some nonzero backgrounds for a $$(2{+}1)$$-dimensional generalized nonlinear evolution system in fluid mechanics and plasma physics
Tian-Yu Zhou, Bo Tian, Yuan Shen, Chong-Dong Cheng
Topics & Concepts
BreatherIntegrable systemNonlinear systemBilinear interpolationFluid mechanicsSolitonBilinear formPhysicsPlasmaMathematical physicsClassical mechanicsOne-dimensional spaceMathematicsMathematical analysisQuantum mechanicsStatisticsNonlinear Waves and SolitonsNonlinear Photonic SystemsFractional Differential Equations Solutions