215 citations · 2.5k across the 102 of their papers we have counts for
101 papers
`Relativistic' propagation of instability fronts in nonlinear Klein-Gordon equation dynamics
A. M. Kamchatnov
We consider propagation of instability fronts in conservative nonlinear wave systems by the Whitham method. Whitham modulation equations for periodic solutions of the generalized K…
Theory of dispersive shock waves induced by the Raman effect in optical fibers
D. V. Shaykin, A. M. Kamchatnov
We develop the theory of dispersive shock waves in optical fibers for the case of long-distance propagation of optical pulses, when the small Raman effect stabilizes the profile of…
Supersonic Flow Past an Obstacle in a Quasi-Two-Dimensional Lee-Huang-Yang Quantum Fluid
G. H. dos Santos, L. F. Calazans de Brito, A. Gammal +1
A supersonic flow past an obstacle can generate a rich variety of wave excitations. This paper investigates, both analytically and numerically, two types of excitations generated b…
Undular bore theory for the modified Korteweg-de Vries-Burgers equation
L. F. Calazans de Brito, A. M. Kamchatnov
We consider nonlinear wave structures described by the modified Korteweg-de Vries equation with taking into account a small Burgers viscosity for the case of step-like initial cond…
Propagation of generalized Korteweg-de Vries solitons along large-scale waves
A. M. Kamchatnov, D. V. Shaykin
We consider propagation of solitons along large scale background waves in the generalized Korteweg-de Vries (gKdV) equation theory when the width of the soliton is mach smaller tha…
Asymptotic theory of not completely integrable soliton equations
A. M. Kamchatnov
We develop the theory of transformation of intensive initial nonlinear wave pulses to trains of solitons emerging at asymptotically large time of evolution. Our approach is based o…