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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：New revival phenomena for bidirectional dispersive hyperbolic equations
双向离散 双曲型方程 新复活现象
2023/11/13
In this talk, the dispersive revival and fractalization phenomena for bidirectional dispersive equations on a bounded interval subject to periodic boundary conditions and discontinuous initial profile...
A New Graded Algebra Structure on Differential Polynomials: Level Grading and its Application to the Classification of Scalar Evolution Equations in 1+1 Dimension
New Graded Algebra Structure Differential Polynomials Level Grading Classification of Scalar Evolution Equations 1+1 Dimension
2012/4/26
We define a new grading, that we call the "level grading", on the algebra of polynomials generated by the derivatives $u_{k+i}=\partial^{k+i}u/\partial x^{k+i}$ over the ring $K^{(k)}$ of $C^{\infty}$...
CK Method And Auto-Backlund Transformation To Find New Exact Solutions Of The (1+1)-Dimensional Variable-Coefficient KdV Equation
CK Method auto-B¨acklund transformation soliton-type solutions
2011/10/18
In this letter, based on the computerized symbolic computation, we extend the Clarkson and Kruskal (CK) method to search for new soliton-type solutions and auto-B¨acklund transformation of partial dif...
A New Type of Traveling Interface Modulations in a Catalytic Surface Reaction
Traveling Interface Modulations spatially separated domains
2011/7/6
A new type of traveling interface modulations has been observed in the NH$_3$ + O$_2$ reaction on a Rh(110) surface. A model is set up which reproduces the effect, which is attributed to diffusional m...
A New Family Of Elliptic Curves With Positive Rank arising from Pythagorean Triples
elliptic curves rank pythagorean triples
2011/2/28
The aim of this paper is to introduce a new family of elliptic curves in the form of y2 = x(x−a2)(x−b2) that have positive ranks. We first generate a list of pythagorean triples (a, b, c) ...
A new family of elliptic curves with positive ranks arising from the Heron triangles
Elliptic curves Ranks Torsion group Heron’s Triangle
2011/2/28
The aim of this paper is to introduce a new family of elliptic curves with positive ranks.
New solutions to the $s\ell_q(2)$-invariant Yang-Baxter equations at roots of unity
New solutions $s\ell_q(2)$-invariant Yang-Baxter equations
2011/3/1
We have found new solutions to Yang-Baxter equations with R-matrices acquiring slq(2) symmetry
at roots of unity using indecomposable representations of the algebra.
The new integrable deformations of short pulse equation and sine-Gordon equation, and their solutions
integrable deformed short pulse equation integrable deformed sine-Gordon equation
2010/12/28
We first derive an integrable deformed hierarchy of short pulse equation and their Lax representation. Then we concentrated on the solution of integrable deformed short pulse equation (IDSPE).
A new formula for some linear stochastic equations with applications
Linear stochastic equation growth collapse process risk process
2010/12/8
We give a representation of the solution for a stochastic linear equation of the form Xt = Yt + R(0,t]Xs− dZs where Z is a c`adl`ag semimartingale and Y is a c`adl`ag adapted process with bounde...
New exact multi line soliton and periodic solutions with constant asymptotic values at infinity of the NVN integrable nonlinear evolution equation via dibar-dressing method
exact multi line soliton nonlinear evolution equation periodic solutions
2010/4/6
The classes of exact multi line soliton, periodic solutions and solutions with functional parameters, with constant asymptotic values at infinity u|_{xi^2+eta^2->infty}->-epsilon, for the hyperbolic a...
Differential Subordination Results for New Classes of the Family $ \mathcal{E}( \Phi, \Psi)$
Fractional calculus Subordination Hadamard product
2010/1/25
We define new classes of the family in a unit disk where the operator denotes the convolution or Hadamard product. Moreover, we establish some subordination results for these new classes.
In this paper, a new step-size skill for a projection and contraction
method$^{[10]}$ for linear programming is generalized to an iterative
method$^{[22]}$ for solving nonlinear projection equation....