Compactons in $\mathcal{PT}$-symmetric generalized Korteweg–de Vries equations
Carl M Bender Fred Cooper Avinash Khare Bogdan Mihaila Avadh Saxena
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This paper considers the $\mathcal{PT}$-symmetric extensions of the equations examined by Cooper, Shepard and Sodano. From the scaling properties of the $\mathcal{PT}$-symmetric equations a general theorem relating the energy, momentum and velocity of any solitary-wave solution of the generalized KdV equation is derived. We also discuss the stability of the compacton solution as a function of the parameters affecting the nonlinearities.
Carl M Bender1 Fred Cooper2 3 Avinash Khare4 Bogdan Mihaila5 Avadh Saxena3
Volume 96, 2022
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