Optimal conditions are used in nondynamical formalism to diagonalize the pionproton reaction matrix as much as possible. Invariance laws are imposed to simplify the relationship between observables and bilinear combination of amplitudes. Transverse amplitudes are determined by using measured polarization parameter in xfp elastic scattering at 6.0 GeVIC

Use of a bilinear conformal map to achieve a frequency warping nearly identical to that of the Bark frequency scale is described. Because the map takes the unit circle to itself, its form is that of the transfer function of a first-order allpass filter. Since it is a first-order map, it preserves the model order of rational systems, making it a valuable frequency warping technique for use in au...

Many dynamical problems in physics and other natural fields are usually characterized by the nonlinear evolution of partial differential equations known as governing equations. Searching for an analytical exact solution to a nonlinear system has long been an important and interesting topic in nonlinear science both for physicists and mathematicians, and various methods for obtaining exact solut...

Bilinear inverse problems (BIPs), the resolution of two vectors given their image under a bilinear mapping, arise in many applications. Without further constraints, BIPs are usually ill-posed. In practice, properties of natural signals are exploited to solve BIPs. For example, subspace constraints or sparsity constraints are imposed to reduce the search space. These approaches have shown some s...

In this paper, we construct the bilinear identities for wave functions of an extended Kadomtsev-Petviashvili (KP) hierarchy, which is KP hierarchy with particular flows (2008, Phys. Lett. A, 372: 3819). By introducing auxiliary parameter (denoted by $z$), whose flow corresponds to so-called squared eigenfunction symmetry find tau-function hierarchy. It shown that will generate all Hirota's equa...

In this paper, we are interested in the construction of a bilinear pseudodifferential calculus. We define some symbolic classes which contains those of Coifman-Meyer. These new classes allow us to consider operators closely related to the bilinear Hilbert transform. We give a description of the action of our bilinear operators on Sobolev spaces. These classes also have a “nice” behavior through...

This article is concerned with the question of whether Marcinkiewicz multipliers on R2n give rise to bilinear multipliers on R×R. We show that this is not always the case. Moreover, we find necessary and sufficient conditions for such bilinear multipliers to be bounded. These conditions in particular imply that a slight logarithmic modification of the Marcinkiewicz condition gives multipliers f...