15 Result(s)

Article

Inelastic scattering of medium-energy pions from carbon

C. Rogers, C. Wilkin in Lettere al Nuovo Cimento (1971-1985) (1971)

Article

The construction of invariant transformations in plane rotational gasdynamics

C. Rogers in Archive for Rational Mechanics and Analysis (1972)

Article

The Burgers hierarchy: on nonlinear initial and boundary value problems

Systems of nonlinear equations of the Burgers-hierarchy type are reduced to linear canonical form via Bäcklund transformations with a view to the treatment of initial and nonlinear boundary value problems.

C. Rogers, P. L. Sachdev in Il Nuovo Cimento B (1971-1996) (1984)

Article

A reciprocal Bäcklund transformation: Application to a nonlinear hyperbolic model in heat conduction

An involutory Bäcklund transformation is used to linearize a class of nonlinear evolution equations. Application is made to a recent model in nonlinear heat conduction.

C. Rogers, T. Ruggeri in Lettere al Nuovo Cimento (1971-1985) (1985)

Article

On reciprocal auto-Bäcklund transformations: Application to a new nonlinear hierarchy

A hierarchy of nonlinear evolution equations based on the IKW nonlinear oscillation equation is shown to be invariant under a reciprocal Bäcklund transformation. This result is seen to be a consequence of a si...

C. Rogers, M. C. Nucci, J. G. Kingston in Il Nuovo Cimento B (1971-1996) (1986)

Chapter and Conference Paper

Carbon Grains in the Circumstellar Envelope of IRC +10 216

We have made models of the spectral and spatial distribution of radiation from circumstellar grains in IRC +10 216, incorporating new opacity laws for graphite and amorphous carbon; graphite still seems less s...

P. G. Martin, C. Rogers in Late Stages of Stellar Evolution (1987)

Chapter and Conference Paper

Observations of HCO⁺ in B335

We present HCO⁺ observations of B335 by JCMT. They show that there is warm gas in the central region and a steep excitation gradient.

T. I. Hasegawa, C. Rogers, S. S. Hayashi in Submillimetre Astronomy (1990)

Chapter

On Gasdynamic-Solitonic Connections

A link between a class of infinitesimal Bäcklund transformations of the hodograph equations of isentropic gasdynamics and novel 2 + 1-dimensional integrable systems is reviewed. In addition, it is noted that a...

C. Rogers in Applications of Analytic and Geometric Met… (1993)

Chapter

HI Bubbles Around NGC 6888

The interstellar bubbles are generally the result of the interaction of strong stellar winds with the surrounding material. HI voids and shells have been disclosed around several WR stars in our Galaxy (e.g. Niem...

C. Cappa De Nicolau, C. Rogers, G. Dubner… in Unsolved Problems of the Milky Way (1996)

Article

The Kinematics of the Planar Motion of Ideal Fiber-Reinforced Fluids: An Integrable Reduction and Bäcklund Transformation

We establish that the kinematic constraints on the steady planar motion of an ideal fiber-reinforced fluid can be consolidated in a single third-order nonlinear equation. Remarkably, this equation admits a sol...

C. Rogers, W. K. Schief in Theoretical and Mathematical Physics (2003)

Article

A novel class of model constitutive laws in nonlinear elasticity: Construction via Loewner theory

Using a solitonic connection, we show that the class of infinitesimal Bäcklund transformations originally introduced by Loewner in 1952 in a gasodynamic context results in physically interesting nonlinear mode...

C. Rogers, W. K. Schief, K. W. Chow in Theoretical and Mathematical Physics (2007)