01.01.02 (Differential equations, dynamical systems, and optimal control)
Keywords:
Darboux transformation,
perturbed mKdV equation,
two-soliton like solution,
two-periodic like solution.
Subject:
Partial differential equations
Main publications:
Ying Huang, “New no-traveling wave solutions for the Liouville equation by Backlund transformation method”, Nonlinear dynamics, 72:1-2 (2013), 87–90
Ying Huang, “Exact multi-wave solutions for the KdV equation”, Nonlinear dynamics, 77:3 (2014), 437–444
Ying Huang, “Explicit Multi-Soliton Solutions for the KdV
Equation by Darboux Transformation”, IAENG International Journal of Applied Mathematics, 43:3 (2013), 135–137
Ying Huang, Lin Liang, “Exact two-soliton solutions and two-periodic solutions for the perturbed mKdV equation with variable coefficients”, TMF, 184:2 (2015), 244–252; Theoret. and Math. Phys., 184:2 (2015), 1106–1113