Stochastic solitons in a two-layer fluid system

PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Special integral transforms (Legendre, Hilbert, etc.) (44A15) White noise theory (60H40) PDEs with randomness, stochastic partial differential equations (35R60) Soliton solutions (35C08) Liquid-liquid two component flows (76T06)

Cites Work

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The Cauchy problem for the stochastic generalized Benjamin-Ono equation
On the stochastic Benjamin--Ono equation
An auto-Bäcklund transformation and exact solutions of stochastic Wick-type Sawada-Kotera equations
Long time dynamics for generalized Korteweg-de Vries and Benjamin-Ono equations
On the analytic Birkhoff normal form of the Benjamin-Ono equation and applications
Dynamics of solutions in the generalized Benjamin-Ono equation: a numerical study
Auto-Bäcklund transformation, similarity reductions and solitons of an extended \((2+1)\)-dimensional coupled Burgers system in fluid mechanics
Hybrid solutions for the (2+1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics
Bilinear form and soliton solutions for a higher order wave equation
Time-fractional Benjamin-Ono equation for algebraic gravity solitary waves in baroclinic atmosphere and exact multi-soliton solution as well as interaction
Uniform random attractors for 2D non-autonomous stochastic Navier-Stokes equations
Optical waves/modes in a multicomponent inhomogeneous optical fiber via a three-coupled variable-coefficient nonlinear Schrödinger system
Comment on: ``Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation
Dark soliton solutions for a variable coefficient higher-order Schrödinger equation in the dispersion decreasing fibers
Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation
Jost Solutions and the Direct Scattering Problem of the Benjamin--Ono Equation
Mixed lump-stripe, bright rogue wave-stripe, dark rogue wave-stripe and dark rogue wave solutions of a generalized Kadomtsev-Petviashvili equation in fluid mechanics
Lump wave-soliton and rogue wave-soliton interactions for a \((3 + 1)\)-dimensional B-type Kadomtsev-Petviashvili equation in a fluid
Bäcklund transformations, kink soliton, breather- and travelling-wave solutions for a \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation in fluid dynamics
The higher-order and multi-lump waves for a \((3+1)\)-dimensional generalized variable-coefficient shallow water wave equation in a fluid
Bilinear auto-Bäcklund transformation, soliton and periodic-wave solutions for a (2+1)-dimensional generalized Kadomtsev-Petviashvili system in fluid mechanics and plasma physics

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