Investigating One-, Two-, and Triple-Wave Solutions via Multiple Exp-Function Method Arising in Engineering Sciences

Abstract

The multiple Exp-function method is employed for searching the multiple soliton solutions for the new extended (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mn>3</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>)-dimensional Jimbo-Miwa-like (JM) equation, the extended (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>)-dimensional Calogero-Bogoyavlenskii-Schiff (eCBS) equation, the generalization of the (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>)-dimensional Bogoyavlensky-Konopelchenko (BK) equation, and a variable-coefficient extension of the DJKM (vDJKM) equation, which contain one-soliton-, two-soliton-, and triple-soliton-kind solutions. The physical phenomena of these gained multiple soliton solutions are analyzed and indicated in figures by selecting suitable values.