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Communications in Nonlinear Science and Numerical Simulation > 2018 > 56 > Complete > 457-466

Communications in Nonlinear Science and Numerical Simulation > 2018 > 56 > Complete > 490-498

_{t}=D

_{x}

^{3}(u

^{n})+αD

_{x}(u

^{m}), all non-degenerate (n <> 0) cases admitting fifth order symmetries are identified, including K(m

_{1}, 1), K(m

_{2},-1/2) and K(m

_{3},-2), where m

_{1}=0,1,2,3,m

_{2}=-1/2,0,1,3/2 and m

_{3}=-2,-1,0,1. For five less studied cases, namely K(0,-2),K(-1,-2),K(-2,-2),K(-1/2,-1/2) and K(3/2,-1/2), bi-Hamiltonian structures are established through their invertible links with some...

Communications in Nonlinear Science and Numerical Simulation > 2018 > 56 > Complete > 499-507

Communications in Nonlinear Science and Numerical Simulation > 2018 > 56 > Complete > 354-364

Communications in Nonlinear Science and Numerical Simulation > 2018 > 56 > Complete > 508-525

^{n}+c. We prove that, despite increasing the degree, it is still possible to draw the parameter space by using the orbit of a single critical point. For the methods having z=~ as an attracting fixed point, we show how the basins of attraction of the roots become smaller as the value of...

Communications in Nonlinear Science and Numerical Simulation > 2018 > 56 > Complete > 330-343

Communications in Nonlinear Science and Numerical Simulation > 2018 > 56 > Complete > 481-489

Communications in Nonlinear Science and Numerical Simulation > 2018 > 56 > Complete > 588-595

Communications in Nonlinear Science and Numerical Simulation > 2018 > 56 > Complete > 380-391

Communications in Nonlinear Science and Numerical Simulation > 2018 > 56 > Complete > 198-216

Communications in Nonlinear Science and Numerical Simulation > 2018 > 56 > Complete > 314-329

^{4}kink with a PT-symmetric perturbation is observed in the numerical study performed in the frame of the continuum model and with the help of a two degree of freedom collective variable model derived in PRA 89, 010102(R). The perturbation is in the form of first partial derivative in time term with a spatially periodic gain/loss coefficient. When the kink interacts...

Communications in Nonlinear Science and Numerical Simulation > 2018 > 56 > Complete > 131-137

Communications in Nonlinear Science and Numerical Simulation > 2018 > 56 > Complete > 217-226

Communications in Nonlinear Science and Numerical Simulation > 2018 > 56 > Complete > 405-418