非线性波：理论、计算机模拟、实验（英文）

作者: [保] 米哈伊尔·D.托多罗夫（Michail Todorov）著

出版社: 哈尔滨工业大学出版社

出版时间: 2021-06

版次: 1

ISBN: 9787560395234

定价: 108.00

装帧: 平装

开本: 16开

纸张: 胶版纸

分类: 自然科学

2 张插图图片

2人买过

《非线性波：理论、计算机模拟、实验（英文）》共分三章介绍了非线性波的相关理论。首章主要介绍了布西内斯克方程，该方程是一个浅水表面波模型，它考虑了非线性和色散之间的平衡，且保持了波形（过渡波）；第二章专门介绍了标量非线性薛定谔方程的一种推广――耦合非线性薛定谔方程的动力学系统，也称为矢量薛定谔方程；第三章是对标量非线性薛定谔方程以及描述超短光脉冲动力学包络方程的多维情况的扩展，涉及一些实验数据和比较，并试图揭示物质较少的研究性质。
《非线性波：理论、计算机模拟、实验（英文）》适合大学师生及相关爱好者参考使用。 Michail Todorov，graduated in 1984 and received a PhD degree in 1989 from the St. Klimem Ohridski University of Sofia, Bulgaria. Since 1990, he has been Associate Professor and Full Professor （2012） with the Department of Applied Mathematics and Computer Science by the Technical University of Sofia, Bulgaria. He has worked as a Senior Research Fellow in the Joint Institute for Nuclear Research at Dubna, Russia （2004） and as a Visiting Professor, a Visiting Scholar and a Visiting Consultant in the University of Texas at Arlington, TX, USA （2008，2009 and 2011） and Texas A&M University at Commerce, TX USA （2011）, Sabbatical Professor at Southeastern Louisiana University at Hammond，LA, USA （2013） and Embrie-Riddle Auonautical University, Daytona Beach，FL，USA （2017）. Preface
Acknowledgements
Author biography

1 Two-dimensional Boussinesq equation． Boussinesq paradigm and soliton solutions
1．1 Boussinesq equations． Generalized wave equation
1．2 Investigation of the long-time evolution of localized solutions of a dispersive wave system
1．3 Numerical implementation of Fourier-transform method for generalized wave equations
1．4 Perturbation solution for the 2D shallow-water waves
1．5 Boussinesq paradigm equation and the experimental measurement
1．6 Development and realization of efficient numerical methods， algorithms and scientific software for 2D nonsteady Boussinesq paradigm equation． Comparative analysis of the results References

2 Systems of coupled nonlinear SchrSdinger equations． Vector Schrodinger equation
2．1 Conservative scheme in complex arithmetic for vector nonlinear Schrodinger equations
2．2 Finite-difference implementation of conserved properties of the vector nonlinear Schrodinger equation （VNLSE）
2．3 Collision dynamics of circularly polarized solitons in nonintegrable VNLSE
2．4 Impact of the large cross-modulation parameter on the collision dynamics of quasi-particles governed by vector nonlinear Schr6dingcr equation
2，5 Repelling soliton collisions in vector nonlinear Schr6dinger equation with negative cross modulation
2．6 On the solution of the system of ordinary differential equations governing the polarized stationary solutions of vector nonlinear Schr6dinger equation
2．7 Collision dynamics of elliptically polarized solitons in vector nonlinear Schr6dinger equation
2．8 Collision dynamics of polarized solitons in linearly coupled vector nonlinear Schr6dinger equation
2．9 Polarization dynamics during takeover collisions of solitons in vector nonlinear Schr6dinger equation
2．10 The effect of the elliptic polarization on the quasi-particle dynamics of linearly coupled vector nonlinear Schr6dinger equation
2．11 Vector nonlinear Schr6dinger equation with different cross-modulation rates
2．12 Asymptotic behavior of Manakov solitons
2．13 Manakov solitons and effects of external potential wells and humps References

3 Ultrashort optical pulses． Envelope dispersive equations
3．1 On a method for solving of multidimensional equations of mathematical physics
3．2 Dynamics of high-intensity ultrashort light pulses at some basic propagation regimes
3．3 （3+I）D nonlinear Schr6dinger equation
3．4 （3+I）D nonlinear envelope equation （NEE）
3．5 Summary of the studies

References

编辑手记
内容简介:
《非线性波：理论、计算机模拟、实验（英文）》共分三章介绍了非线性波的相关理论。首章主要介绍了布西内斯克方程，该方程是一个浅水表面波模型，它考虑了非线性和色散之间的平衡，且保持了波形（过渡波）；第二章专门介绍了标量非线性薛定谔方程的一种推广――耦合非线性薛定谔方程的动力学系统，也称为矢量薛定谔方程；第三章是对标量非线性薛定谔方程以及描述超短光脉冲动力学包络方程的多维情况的扩展，涉及一些实验数据和比较，并试图揭示物质较少的研究性质。
《非线性波：理论、计算机模拟、实验（英文）》适合大学师生及相关爱好者参考使用。
作者简介:
Michail Todorov，graduated in 1984 and received a PhD degree in 1989 from the St. Klimem Ohridski University of Sofia, Bulgaria. Since 1990, he has been Associate Professor and Full Professor （2012） with the Department of Applied Mathematics and Computer Science by the Technical University of Sofia, Bulgaria. He has worked as a Senior Research Fellow in the Joint Institute for Nuclear Research at Dubna, Russia （2004） and as a Visiting Professor, a Visiting Scholar and a Visiting Consultant in the University of Texas at Arlington, TX, USA （2008，2009 and 2011） and Texas A&M University at Commerce, TX USA （2011）, Sabbatical Professor at Southeastern Louisiana University at Hammond，LA, USA （2013） and Embrie-Riddle Auonautical University, Daytona Beach，FL，USA （2017）.
目录:
Preface
Acknowledgements
Author biography

1 Two-dimensional Boussinesq equation． Boussinesq paradigm and soliton solutions
1．1 Boussinesq equations． Generalized wave equation
1．2 Investigation of the long-time evolution of localized solutions of a dispersive wave system
1．3 Numerical implementation of Fourier-transform method for generalized wave equations
1．4 Perturbation solution for the 2D shallow-water waves
1．5 Boussinesq paradigm equation and the experimental measurement
1．6 Development and realization of efficient numerical methods， algorithms and scientific software for 2D nonsteady Boussinesq paradigm equation． Comparative analysis of the results References

2 Systems of coupled nonlinear SchrSdinger equations． Vector Schrodinger equation
2．1 Conservative scheme in complex arithmetic for vector nonlinear Schrodinger equations
2．2 Finite-difference implementation of conserved properties of the vector nonlinear Schrodinger equation （VNLSE）
2．3 Collision dynamics of circularly polarized solitons in nonintegrable VNLSE
2．4 Impact of the large cross-modulation parameter on the collision dynamics of quasi-particles governed by vector nonlinear Schr6dingcr equation
2，5 Repelling soliton collisions in vector nonlinear Schr6dinger equation with negative cross modulation
2．6 On the solution of the system of ordinary differential equations governing the polarized stationary solutions of vector nonlinear Schr6dinger equation
2．7 Collision dynamics of elliptically polarized solitons in vector nonlinear Schr6dinger equation
2．8 Collision dynamics of polarized solitons in linearly coupled vector nonlinear Schr6dinger equation
2．9 Polarization dynamics during takeover collisions of solitons in vector nonlinear Schr6dinger equation
2．10 The effect of the elliptic polarization on the quasi-particle dynamics of linearly coupled vector nonlinear Schr6dinger equation
2．11 Vector nonlinear Schr6dinger equation with different cross-modulation rates
2．12 Asymptotic behavior of Manakov solitons
2．13 Manakov solitons and effects of external potential wells and humps References

3 Ultrashort optical pulses． Envelope dispersive equations
3．1 On a method for solving of multidimensional equations of mathematical physics
3．2 Dynamics of high-intensity ultrashort light pulses at some basic propagation regimes
3．3 （3+I）D nonlinear Schr6dinger equation
3．4 （3+I）D nonlinear envelope equation （NEE）
3．5 Summary of the studies

References

编辑手记