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1

Explicit solutions of Fisher's equation for a special wave speed

Mark J. Ablowitz, Anthony Zeppetella

Journal:

Bulletin of Mathematical Biology

Year:

1979

Language:

english

File:

PDF, 253 KB

english, 1979

2

Analytical and numerical aspects of certain nonlinear evolution equations. III. Numerical, Korteweg-de Vries equation

Thiab R Taha, Mark I Ablowitz

Journal:

Journal of Computational Physics

Year:

1984

Language:

english

File:

PDF, 888 KB

english, 1984

3

Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation

Thiab R Taha, Mark I Ablowitz

Journal:

Journal of Computational Physics

Year:

1984

Language:

english

File:

PDF, 1.01 MB

english, 1984

4

The Inverse Scattering Transform-Fourier Analysis for Nonlinear Problems

Ablowitz, Mark J., Kaup, David J., Newell, Alan C.

Journal:

Studies in Applied Mathematics

Year:

1974

Language:

english

File:

PDF, 6.23 MB

english, 1974

5

On Homoclinic Structure and Numerically Induced Chaos for the Nonlinear Schrödinger Equation

Ablowitz, Mark J., Herbst, B. M.

Journal:

SIAM Journal on Applied Mathematics

Year:

1990

Language:

english

File:

PDF, 1.55 MB

english, 1990

6

Nonlinear-Evolution Equations of Physical Significance

Ablowitz, Mark, Kaup, David, Newell, Alan, Segur, Harvey

Journal:

Physical Review Letters

Year:

1973

Language:

english

File:

PDF, 272 KB

english, 1973

7

Homoclinic manifolds and numerical chaos in the nonlinear Schrödinger equation

Mark J. Ablowitz, Constance M. Schober

Journal:

Mathematics and Computers in Simulation

Year:

1994

Language:

english

File:

PDF, 1.29 MB

english, 1994

8

Numerical chaos, roundoff errors, and homoclinic manifolds

Ablowitz, Mark J., Schober, Constance, Herbst, Ben M.

Journal:

Physical Review Letters

Year:

1993

Language:

english

File:

PDF, 725 KB

english, 1993

9

Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions

Ablowitz, Mark J., Luo, Xu-Dan, Musslimani, Ziad H.

Journal:

Journal of Mathematical Physics

Year:

2018

Language:

english

File:

PDF, 10.86 MB

english, 2018

10

On an internal wave equation describing a stratified fluid with finite depth

Junkichi Satsuma, Mark J. Ablowitz, Yuji Kodama

Journal:

Physics Letters A

Year:

1979

Language:

english

File:

PDF, 265 KB

english, 1979

11

Nonlinear Waves in Shallow Honeycomb Lattices

Ablowitz, Mark J., Zhu, Yi

Journal:

SIAM Journal on Applied Mathematics

Year:

2012

Language:

english

File:

PDF, 1.44 MB

english, 2012

12

A note on Miura’s transformation

Ablowitz, Mark J., Kruskal, Martin, Segur, Harvey

Journal:

Journal of Mathematical Physics

Year:

1979

Language:

english

File:

PDF, 607 KB

english, 1979

13

On Homoclinic Structure and Numerically Induced Chaos for the Nonlinear Schrodinger Equation

Mark J. Ablowitz and B. M. Herbst

Journal:

SIAM Journal on Applied Mathematics

Year:

1990

Language:

english

File:

PDF, 1.18 MB

english, 1990

14

Solitons and the Inverse Scattering Transform || 1. The Inverse Scattering Transform on the Infinite Interval

Ablowitz, Mark J., Segur, Harvey

Year:

1981

Language:

english

File:

PDF, 3.10 MB

english, 1981

15

Perturbations of Solitons and Solitary Waves

Kodama, Yuji, Ablowitz, Mark J.

Journal:

Studies in Applied Mathematics

Year:

1981

Language:

english

File:

PDF, 1.76 MB

english, 1981

16

A Universal Asymptotic Regime in the Hyperbolic Nonlinear Schrödinger Equation

Ablowitz, Mark J., Ma, Yi-Ping, Rumanov, Igor

Journal:

SIAM Journal on Applied Mathematics

Year:

2017

Language:

english

File:

PDF, 1.28 MB

english, 2017

17

Whitham modulation theory for the two-dimensional Benjamin-Ono equation

Ablowitz, Mark, Biondini, Gino, Wang, Qiao

Journal:

Physical Review E

Year:

2017

Language:

english

File:

PDF, 171 KB

english, 2017

18

Complex Variables (Introduction and Applications) || Complex Numbers and Elementary Functions

Ablowitz, Mark J., Fokas, Athanassios S.

Year:

2003

Language:

english

File:

PDF, 300 KB

english, 2003

19

Numerical Chaos, Symplectic Integrators, and Exponentially Small Splitting Distances

B.M. Herbst, Mark J. Ablowitz

Journal:

Journal of Computational Physics

Year:

1993

File:

PDF, 520 KB

1993

20

Asymptotic solutions of nonlinear evolution equations and a Painlevé transcedent

Harvey Segur, Mark J. Ablowitz

Journal:

Physica D: Nonlinear Phenomena

Year:

1981

Language:

english

File:

PDF, 734 KB

english, 1981

21

On solutions of the Korteweg-De Vries equation

Mark J. Ablowitz, Henri Cornille

Journal:

Physics Letters A

Year:

1979

Language:

english

File:

PDF, 407 KB

english, 1979

22

Solvability of the Direct and Inverse Problems for the Nonlinear Schrödinger Equation

Javier Villarroel, Mark J. Ablowitz, Barbara Prinari

Journal:

Acta Applicandae Mathematicae

Year:

2005

Language:

english

File:

PDF, 423 KB

english, 2005

23

Explicit solutions of Fisher's equation for a special wave speed

Mark J. Ablowitz, Anthony Zeppetella

Journal:

Bulletin of Mathematical Biology

Year:

1979

Language:

english

File:

PDF, 249 KB

english, 1979

24

Noise-induced linewidth in frequency combs

Ablowitz, Mark J., Ilan, Boaz, Cundiff, Steven T.

Journal:

Year:

2006

Language:

english

File:

PDF, 157 KB

english, 2006

25

Integrable Nonlocal Nonlinear Schrödinger Equation

Ablowitz, Mark J., Musslimani, Ziad H.

Journal:

Physical Review Letters

Year:

2013

Language:

english

File:

PDF, 122 KB

english, 2013

26

On the evolution of packets of water waves

Ablowitz, Mark J., Segur, Harvey

Journal:

Journal of Fluid Mechanics

Year:

1979

Language:

english

File:

PDF, 445 KB

english, 1979

27

Nonlinear Wave Packets in Deformed Honeycomb Lattices

Ablowitz, Mark J., Zhu, Yi

Journal:

SIAM Journal on Applied Mathematics

Year:

2013

Language:

english

File:

PDF, 1.22 MB

english, 2013

28

Lie-Bäcklund Transformations in Applications (Robert L. Anderson and Nail H. Ibragimov)

Ablowitz, Mark J.

Journal:

Year:

1980

Language:

english

File:

PDF, 135 KB

english, 1980

29

Exact Linearization of a Painlevé Transcendent

Ablowitz, Mark J., Segur, Harvey

Journal:

Physical Review Letters

Year:

1977

Language:

english

File:

PDF, 536 KB

english, 1977

30

Nonlinear Intermediate Long-Wave Equation: Analysis and Method of Solution

Kodama, Yuji, Satsuma, Junkichi, Ablowitz, Mark J.

Journal:

Physical Review Letters

Year:

1981

Language:

english

File:

PDF, 602 KB

english, 1981

31

Unveiling pseudospin and angular momentum in photonic graphene

Song, Daohong, Paltoglou, Vassilis, Liu, Sheng, Zhu, Yi, Gallardo, Daniel, Tang, Liqin, Xu, Jingjun, Ablowitz, Mark, Efremidis, Nikolaos K., Chen, Zhigang

Journal:

Nature Communications

Year:

2015

Language:

english

File:

PDF, 1.52 MB

english, 2015

32

On the evolution of perturbations to solutions of the Kadomtsev–Petviashvilli equation using the Benney–Luke equation

Ablowitz, Mark J, Curtis, Christopher W

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2011

Language:

english

File:

PDF, 1024 KB

english, 2011

33

Solitons and the Inverse Scattering Transform || 4. Applications

Ablowitz, Mark J., Segur, Harvey

Year:

1981

Language:

english

File:

PDF, 7.35 MB

english, 1981

34

Solutions of Multidimensional Extensions of the Anti-Self-Dual Yang-Mills Equation

Ablowitz, Mark J., Costa, David G., Tenenblat, Keti

Journal:

Studies in Applied Mathematics

Year:

1987

Language:

english

File:

PDF, 433 KB

english, 1987

35

A Multidimensional Inverse-Scattering Method

Nachman, Adrian I., Ablowitz, Mark J.

Journal:

Studies in Applied Mathematics

Year:

1984

Language:

english

File:

PDF, 736 KB

english, 1984

36

Preface: Special Issues in Memory of David Benney (Part I)

Ablowitz, Mark J., Yang, Jianke

Journal:

Studies in Applied Mathematics

Year:

2017

Language:

english

File:

PDF, 128 KB

english, 2017

37

Nonlinear Dispersive Waves (Asymptotic Analysis and Solitons) || Introduction

Ablowitz, Mark J.

Year:

2011

Language:

english

File:

PDF, 2.36 MB

english, 2011

38

Integrable nonlocal asymptotic reductions of physically significant nonlinear equations

Ablowitz, Mark J, Musslimani, Ziad H

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2019

Language:

english

File:

PDF, 874 KB

english, 2019

39

Solitons and topological waves

Ablowitz, Mark J., Cole, Justin T.

Journal:

Year:

2020

File:

PDF, 202 KB

2020

40

Analytical and numerical aspects of certain nonlinear evolution equations IV. Numerical, modified Korteweg-de Vries equation

Thiab R Taha, Mark J Ablowitz

Journal:

Journal of Computational Physics

Year:

1988

Language:

english

File:

PDF, 392 KB

english, 1988

41

Multidimensional nonlinear evolution equations and inverse scattering

Mark J. Ablowitz, Adrian I. Nachman

Journal:

Physica D: Nonlinear Phenomena

Year:

1986

Language:

english

File:

PDF, 885 KB

english, 1986

42

On the inverse scattering transform of the 2 + 1 Toda equation

Javier Villarroel, Mark J. Ablowitz

Journal:

Physica D: Nonlinear Phenomena

Year:

1993

Language:

english

File:

PDF, 1.23 MB

english, 1993

43

Numerical simulation of quasi-periodic solutions of the sine-Gordon equation

Mark J. Ablowitz, B.M. Herbst, Constance M. Schober

Journal:

Physica D: Nonlinear Phenomena

Year:

1995

Language:

english

File:

PDF, 619 KB

english, 1995

44

Transverse instability of one-dimensional transparent optical pulses in resonant media

Mark J. Ablowitz, Yuji Kodama

Journal:

Physics Letters A

Year:

1979

Language:

english

File:

PDF, 335 KB

english, 1979

45

Note on solutions to a class of nonlinear singular integro-differential equations

Mark J. Ablowitz, A.S. Fokas, D. Kruskal

Journal:

Physics Letters A

Year:

1987

Language:

english

File:

PDF, 216 KB

english, 1987

46

On the method of solution to the 2+1 Toda equation

Javier Villarroel, Mark J. Ablowitz

Journal:

Physics Letters A

Year:

1992

Language:

english

File:

PDF, 449 KB

english, 1992

47

On the method of solution of the differential-delay Toda equation

Javier Villarroel, Mark J. Ablowitz

Journal:

Physics Letters A

Year:

1993

Language:

english

File:

PDF, 283 KB

english, 1993

48

Nonlinear waves in optical media

Mark J. Ablowitz, Theodoros P. Horikis

Journal:

Journal of Computational and Applied Mathematics

Year:

2010

Language:

english

File:

PDF, 425 KB

english, 2010

49

Wave collapse in a class of nonlocal nonlinear Schrödinger equations

Mark Ablowitz, İlkay Bakırtaş, Boaz Ilan

Journal:

Physica D: Nonlinear Phenomena

Year:

2005

Language:

english

File:

PDF, 678 KB

english, 2005

50

On timing Jitter in wavelength-division multiplexed soliton systems

Mark J. Ablowitz, Gino Biondini, Sarbarish Chakravarty, Rudy L. Horne

Journal:

Optics Communications

Year:

1998

Language:

english

File:

PDF, 252 KB

english, 1998

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