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vi-karpman documents
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On the equations describing modulational instabilities due to nonlinear interaction between high and low frequency waves
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Relation between modulational instability and parametric decay
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Hamiltonian structure of the reduced equations for the ponderomotive interaction between a whistler and fast magnetic sound waves
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Modulational instability due to nonlinear coupling between high- and low-frequency waves: a study of truncated systems
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Evolution of three-dimensional nonlinear pulses in weakly dispersive media
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Waveguide propagation of electromagnetic waves in gyrotropic media
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Self-focusing in gyrotropic media
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Influence of high-order dispersion on self-focusing. II. Numerical investigation
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Solitons of the fourth order nonlinear Schrödinger equation
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Radiating solitons of the fifth order KdV-type equations
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Stationary solitons and stabilization of the collapse described by KdV-type equations with high nonlinearities and dispersion
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Stabilization of soliton instabilities by higher order dispersion: KdV-type equations
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Modulational instability of plasma waves in two dimensions
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Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
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Stability of solitons described by KdV-type equations with higher-order dispersion and nonlinearity (analytical results)
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Solitons and their stability in high dispersive systems. I. Fourth-order nonlinear Schrödinger-type equations with power-law nonlinearities
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Evolution of radiating solitons described by the fifth-order Korteweg-de Vries type equations
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Evolution of solitons described by the higher-order nonlinear Schrödinger equation. II. Numerical investigation
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Lyapunov approach to the soliton stability in highly dispersive systems. I. Fourth order nonlinear Schrödinger equations
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