Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation
Algèbres et équations non-linéaires
Algebro-geometric solutions of the Camassa-Holm hierarchy.
We provide a detailed treatment of the Camassa-Holm (CH) hierarchy with special emphasis on its algebro-geometric solutions. In analogy to other completely integrable hierarchies of soliton equations such as the KdV or AKNS hierarchies, the CH hierarchy is recursively constructed by means of a basic polynomial formalism invoking a spectral parameter. Moreover, we study Dubrovin-type equations for auxiliary divisors and associated trace formulas, consider the corresponding algebro-geometric initial...
An explicit solution of coupled viscous Burgers' equation by the decomposition method.
An interacting particles process for Burgers equation on the circle.
Analysis of the self-similar solutions of a generalized Burgers equation with nonlinear damping.
Analytical and numerical methods for the CMKdV-II equation.
Analytical treatment of generalized Burgers-Huxley equation by homotopy analysis method.
Analyzing the dynamics of the forced Burgers equation.
Andrew Lenard: a mystery unraveled.
Anti-periodic traveling wave solutions to a class of higher-order Kadomtsev-Petviashvili-Burgers equations.
Application of the Cole-Hopf transformation for finding exact solutions to several forms of the seventh-order KdV equation.
Applications of an extended -expansion method to find exact solutions of nonlinear PDEs in mathematical physics.
Applications of the new compound Riccati equations rational expansion method and Fan's subequation method for the Davey-Stewartson equations.
Approximate method for studying the waves propagating along the interface between air-water.
Asymptotic behaviour of solutions of matrix Burgers equation.
Asymptotic behaviour of solutions to the Korteweg-deVries-Burgers system
Asymptotic expansion for a dissipative Benjamin--Bona--Mahony equation with periodic coefficients.
Asymptotic solutions of equations with slowly varying coefficients
Asymptotics for multifractal conservation laws
We study asymptotic behavior of solutions to multifractal Burgers-type equation , where the operator A is a linear combination of fractional powers of the second derivative and f is a polynomial nonlinearity. Such equations appear in continuum mechanics as models with fractal diffusion. The results include decay rates of the -norms, 1 ≤ p ≤ ∞, of solutions as time tends to infinity, as well as determination of two successive terms of the asymptotic expansion of solutions.