Dr. Dipankar Kumar

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Academic Career Length

14Years (2013-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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1 February 2018 in Chinese Journal of Physics

Journal Article

Modified Kudryashov method via new exact solutions for some conformable fractional differential equations arising in mathematical biology

Dipankar Kumar

Aly Seadawy

Atish Kumar Joardar

1 November 2017 in Optik

Journal Article

The sine-Gordon expansion method to look for the traveling wave solutions of the Tzitzéica type equations in nonlinear optics

Dipankar Kumar

K. Hosseini

F. Samadani

1 March 2018 in Optik

Journal Article

New optical solitons of cubic-quartic nonlinear Schrödinger equation

K. Hosseini

F. Samadani

Dipankar Kumar

M. Faridi

1 December 2017 in Communications in Theoretical Physics

Journal Article

New Exact Traveling Wave Solutions of the Unstable Nonlinear Schrödinger Equations

Kamyar Hosseini

Dipankar Kumar

M. Kaplan

E. Yazdani Bejarbaneh

The present paper studies the unstable nonlinear Schrödinger equations, describing the time evolution of disturbances in marginally stable or unstable media. More precisely, the unstable nonlinear Schrödinger equation and its modified form are analytically solved using two efficient distinct techniques, known as the modified Kudraysov method and the sine-Gordon expansion approach. As a result, a wide range of new exact traveling wave solutions for the unstable nonlinear Schrödinger equation and its modified form are formally obtained.