SOME TRAVELING WAVE SOLUTIONS OF SOLITON FAMILY

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DHAWAN S.; GROVER D.; KUMAR S.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2013 | Volume:5 | Issue:4 Page(s): 325-339

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Information Journal Paper

Title

SOME TRAVELING WAVE SOLUTIONS OF SOLITON FAMILY

Author(s)

DHAWAN S. | GROVER D. | KUMAR S. | Issue Writer Certificate

Keywords

NONLINEAR PARTIAL DIFFERENTIAL EQUATIONSQ2

SOLITARY WAVESQ2

HOMOTOPY PERTURBATION METHOD (HPM)Q2

Abstract

Solitons are ubiquitous and exist in almost every area from sky to bottom. For solitons to appear, the relevant equation of motion must be nonlinear. In the present study, we deal with the Korteweg-de Vries (KdV), Modified Korteweg-de Vries (mKdV) and Regularised Long Wave (RLW) equations using Homotopy Perturbation method (HPM). The algorithm makes use of the HPM to determine the initial expansion coefficients using the initial value and boundary conditions. The physical structures of the nonlinear dispersive equation have been investigated for different parameters involved. It is shown how the nature of the waves look like in a simple way by considering the value of a certain single combination of constant parameters. The proposed scheme is standard, direct and computerized, which allow us to do complicated and tedious algebraic calculations. The ease of using this method to determine shock or solitary type of solutions, shows its power.

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APA: Copy

DHAWAN, S., GROVER, D., & KUMAR, S.. (2013). SOME TRAVELING WAVE SOLUTIONS OF SOLITON FAMILY. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 5(4), 325-339. SID. https://sid.ir/paper/231777/en

Vancouver: Copy

DHAWAN S., GROVER D., KUMAR S.. SOME TRAVELING WAVE SOLUTIONS OF SOLITON FAMILY. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2013;5(4):325-339. Available from: https://sid.ir/paper/231777/en

IEEE: Copy

S. DHAWAN, D. GROVER, and S. KUMAR, “SOME TRAVELING WAVE SOLUTIONS OF SOLITON FAMILY,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 5, no. 4, pp. 325–339, 2013, [Online]. Available: https://sid.ir/paper/231777/en

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