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New Jacobi elliptic solutions and other solutions with quadratic-cubic nonlinearity using two mathematical methods

Savaissou Nestor

Department of Physics, Faculty of Science, The University of Maroua, P. O. Box 814, Cameroon

E-mail Address: savaissoun77@gmail.com

Corresponding author.

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Mibaile Justin

Higher Teachers’ Training College of Maroua, The University of Maroua, P. O. Box 46, Cameroon

E-mail Address: thejust7@yahoo.fr

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Douvagai

Department of Physics, Faculty of Science, The University of Maroua, P. O. Box 814, Cameroon

E-mail Address: douvagai@yahoo.fr

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Gambo Betchewe

Department of Physics, Faculty of Science, The University of Maroua, P. O. Box 814, Cameroon

Higher Teachers’ Training College of Maroua, The University of Maroua, P. O. Box 46, Cameroon

E-mail Address: gambobetch@yahoo.fr

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Serge Y. Doka

Department of Physics, Faculty of Science, The University of Ngaoundere, P. O. Box 546, Cameroon

E-mail Address: numami@gmail.com

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, and

T. C. Kofane

Department of Physics, Faculty of Science, The University of Yaounde I, P. O. Box 812, Cameroon

E-mail Address: tckofane@yahoo.com

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https://doi.org/10.1142/S1793557120500436Cited by:10 (Source: Crossref)

Abstract

In this paper, we apply two powerful methods, namely, the new extended auxiliary equation method and the generalized Kudryashov method for constructing many exact solutions and other solutions for the higher order dispersive nonlinear Schrödinger’s equation to secure soliton solutions in quadratic-cubic medium. Various solutions of the resulting nonlinear ODE are obtained by using the above two methods.

Communicated by J. Koppitz

Keywords:

AMSC: 35A24

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