Search results

Sort By:

Limit search:

Exact Travelling Wave Solutions to the (3+1)-Dimensional Kadomtsev-Petviashvili Equation

100%

Peng Y., Krishnan E.

Acta Physica Polonica A

2005

vol. 108

issue 3

421-428

Exact travelling wave solutions in terms of the Jacobi elliptic functions are obtained to the (3+1)-dimensional Kadomtsev-Petviashvili equation by means of the extended mapping method. Limit cases are studied, and new solitary wave solutions and trigonometric periodic wave solutions are got. The method is applicable to a large variety of nonlinear partial differential equations.

Embedded Solitons and Conservation Law with χ^{(2)} and χ^{(3)} Nonlinear Susceptibilities

52%

Savescu M., Kara A., Kumar S., Krishnan E., Zaka Ullah M., Moshokoa S., Zhou Q., Biswas A.

Acta Physica Polonica A

2017

vol. 131

issue 2

297-303

This paper studies embedded solitons that are confined to continuous spectrum, with χ^{(2)} and χ^{(3)} nonlinear susceptibilities. Bright and singular soliton solutions are obtained by the method of undetermined coefficients. Subsequently, the Lie symmetry analysis and mapping method retrieves additional solutions to the model such as shock waves, singular solitons, cnoidal waves, and several others. Finally, a conservation law for this model is secured through the Lie symmetry analysis.

Refine search results

2 Acta Physica Polonica A

1 2017

1 2005

2 Krishnan E.

1 Biswas A.

1 Kara A.

1 Kumar S.

1 Moshokoa S.

1 Peng Y.

1 Savescu M.

1 Zaka Ullah M.

1 Zhou Q.

Search results

Exact Travelling Wave Solutions to the (3+1)-Dimensional Kadomtsev-Petviashvili Equation

Embedded Solitons and Conservation Law with χ^{(2)} and χ^{(3)} Nonlinear Susceptibilities