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Works cited by this work

48 works

Work: Integration of the fractional modified Korteweg de Vries-sine-Gordon equation by the inverse scattering method

  1. The random walk's guide to anomalous diffusion: a fractional dynamics approach

    Ralf Metzler, J. Klafter

    Article200035 citations
    ABI

  2. On the Modified Korteweg–De-Vries Equation with Loaded Term

    А. Б. Хасанов, T. Zh. Allanazarova

    ArticleNonlinear Waves and SolitonsUkrainian Mathematical Journal202226 citations
    ABI

  3. Integrating the modified Korteweg–de Vries– sine-Gordon equation in the class of periodic infinite-gap functions

    А. Б. Хасанов, Kh. N. Normurodov, U. O. Khudaerov

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics202315 citations
    ABI

  4. The Novel Multi-Soliton Solutions of the MKdV–Sine Gordon Equations

    Deng-yuan Chen, Da‐jun Zhang, Shu-fang Deng

    Article20029 citations
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  5. Effect of Weak Dislocation Potential on Nonlinear Wave Propagation in Anharmonic Crystal

    Kimiaki Konno, Wataru Kameyama, Heiji Sanuki

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  6. New exact soliton and periodic wave solutions of the nonlinear fractional evolution equations with additional term

    Bazar Babajanov, Fakhriddin Abdikarimov

    ArticleFractional Differential Equations SolutionsPartial Differential Equations in Applied Mathematics20237 citations
    ABI

  7. Integration of the Modified Korteweg–de Vries–Liouville Equation in the Class of Periodic Infinite-Gap Functions

    А. Б. Хасанов, U. O. Khudayorov

    ArticleSpectral Theory in Mathematical PhysicsMathematical Notes20237 citations
    ABI

  8. Soliton and breather molecules in few-cycle-pulse optical model

    Man Jia, Ji Lin, Sen Yue Lou

    Article20207 citations
    ABI

  9. Integration of the differential–difference sine-Gordon equation with a self-consistent source

    Bazar Babajanov, A. K. Babadjanova, A. Sh. Azamatov

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics20227 citations
    ABI

  10. Models of few optical cycle solitons beyond the slowly varying envelope approximation

    Hervé Leblond, Dumitru Mihalache

    Article20125 citations
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  11. Generation of 5-fs pulses and octave-spanning spectra directly from a Ti:sapphire laser

    R. Ell, Uwe Morgner, Franz X. Kärtner +8

    Article20014 citations
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  12. L'intégrale de Riemann-Liouville et le problème de Cauchy

    Marcel Riesz

    Article19494 citations
    ABI

  13. On the Cauchy Problem for the mKdV–Sine-Gordon Equation with an Additional Term

    U. A. Hoitmetov

    ArticleNonlinear Waves and SolitonsActa Applicandae Mathematicae20234 citations
    ABI

  14. Few-optical-cycle solitons: Modified Korteweg–de Vries sine-Gordon equation versus other non–slowly-varying-envelope-approximation models

    Hervé Leblond, Dumitru Mihalache

    Article20093 citations
    ABI

  15. Travelling wave solutions for the MKdV-sine-Gordon and the MKdV-sinh-Gordon equations by using a variable separated ODE method

    Abdul–Majid Wazwaz

    Article20063 citations
    ABI

  16. Untitled

    Other3 citations
    ABI

  17. Fractional diffusion and Lévy stable processes

    Bruce J. West, Paolo Grigolini, Ralf Metzler +1

    Article19972 citations
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  18. Sub-6-fs pulses from a SESAM-assisted Kerr-lens modelocked Ti:sapphire laser: at the frontiers of ultrashort pulse generation

    Dirk Sutter, L. Gallmann, N. Matuschek +6

    Article20002 citations
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  19. Exact Solution of the Sine-Gordon Equation for Multiple Collisions of Solitons

    Ryogo Hirota

    Article19722 citations
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  20. Lévy dynamics of enhanced diffusion: Application to turbulence

    Michael F. Shlesinger, Bruce J. West, J. Klafter

    Article19872 citations
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  21. Faster-than-light propagation of electromagnetic solitons in nonequilibrium medium taking account of diffraction

    A. N. Bugay, С. В. Сазонов

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  22. Fractional variational calculus in terms of Riesz fractional derivatives

    Om P. Agrawal

    Article20072 citations
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  23. Indication of a Universal Persistence Law Governing Atmospheric Variability

    Eva Koscielny–Bunde, Armin Bunde, Shlomo Havlin +3

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  24. The supersonic motion of a crowdion. The one-dimensional model with nonlinear interaction between the nearest neighbours

    A. M. Kosevich, A. S. Kovalev

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  25. Closure of the squared Zakharov-Shabat eigenstates

    D. J. Kaup

    Article19762 citations
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