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Proceedings of the Second International Conference on Soft Computing for Problem Solving (SocProS 2012), December 28-30, 2012 pp 271–277Cite as

New Analytical Approach for Fractional Cubic Nonlinear Schrödinger Equation Via Laplace Transform

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 236))

Abstract

In this paper, a user-friendly algorithm based on new homotopy perturbation transform method (HPTM) is proposed to obtain approximate solution of a time-space fractional cubic nonlinear Schrödinger equation. The numerical solutions obtained by the HPTM indicate that the technique is easy to implement and computationally very attractive.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Jagannath University, Village- Rampura, Tehsil-Chaksu, Jaipur, Rajasthan,  303901, India

    Jagdev Singh

  2. Department of Mathematics, Jagannath Gupta Institute of Engineering and Technology,  Jaipur, Rajasthan, 302022, India

    Devendra Kumar

Authors
  1. Jagdev Singh
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  2. Devendra Kumar
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Corresponding author

Correspondence to Jagdev Singh .

Editor information

Editors and Affiliations

  1. Institute of Engineering and Technology, JK Lakshmipat University, Jaipur, Rajasthan, India

    B. V. Babu

  2. Department of Computer Science, Liverpool Hope University, Liverpool, United Kingdom

    Atulya Nagar

  3. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    Kusum Deep

  4. Department of Paper Technology, Indian Institute of Technology Roorkee, Roorkee, India

    Millie Pant

  5. Department of Applied Mathematics, South Asian University, New Delhi, India

    Jagdish Chand Bansal

  6. Institute of Engineering and Technology, JK Lakshmipat University, Jaipur, Rajasthan, India

    Kanad Ray

  7. Institute of Engineering and Technology, JK Lakshmipat University, Jaipur, Rajasthan, India

    Umesh Gupta

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Singh, J., Kumar, D. (2014). New Analytical Approach for Fractional Cubic Nonlinear Schrödinger Equation Via Laplace Transform. In: Babu, B., et al. Proceedings of the Second International Conference on Soft Computing for Problem Solving (SocProS 2012), December 28-30, 2012. Advances in Intelligent Systems and Computing, vol 236. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1602-5_30

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  • DOI: https://doi.org/10.1007/978-81-322-1602-5_30

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-1601-8

  • Online ISBN: 978-81-322-1602-5

  • eBook Packages: EngineeringEngineering (R0)

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